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106043215152 = 24372131344171
BaseRepresentation
bin110001011000010101…
…0110000110100110000
3101010201100000110222010
41202300222300310300
53214134030341102
6120414322042520
710442564312400
oct1426052606460
9333640013863
10106043215152
1140a776a3096
12186757a9440
139ccc8295b4
1451bd8bc800
152b59a5bd6c
hex18b0ab0d30

106043215152 has 120 divisors (see below), whose sum is σ = 321104215872. Its totient is φ = 30066691200.

The previous prime is 106043215147. The next prime is 106043215163. The reversal of 106043215152 is 251512340601.

It is a super-2 number, since 2×1060432151522 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136027 + ... + 480197.

Almost surely, 2106043215152 is an apocalyptic number.

106043215152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106043215152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160552107936).

106043215152 is an abundant number, since it is smaller than the sum of its proper divisors (215061000720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106043215152 is a wasteful number, since it uses less digits than its factorization.

106043215152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344327 (or 344314 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 106043215152 its reverse (251512340601), we get a palindrome (357555555753).

The spelling of 106043215152 in words is "one hundred six billion, forty-three million, two hundred fifteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 131 147 168 196 262 294 336 392 393 524 588 784 786 917 1048 1176 1572 1834 2096 2352 2751 3144 3668 5502 6288 6419 7336 11004 12838 14672 19257 22008 25676 38514 44016 51352 77028 102704 154056 308112 344171 688342 1032513 1376684 2065026 2409197 2753368 4130052 4818394 5506736 7227591 8260104 9636788 14455182 16520208 16864379 19273576 28910364 33728758 38547152 45086401 50593137 57820728 67457516 90172802 101186274 115641456 134915032 135259203 180345604 202372548 269830064 270518406 315604807 360691208 404745096 541036812 631209614 721382416 809490192 946814421 1082073624 1262419228 1893628842 2164147248 2209233649 2524838456 3787257684 4418467298 5049676912 6627700947 7574515368 8836934596 13255401894 15149030736 17673869192 26510803788 35347738384 53021607576 106043215152