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106043904 = 29342557
BaseRepresentation
bin1100101001000…
…01101000000000
321101112120220000
412110201220000
5204121401104
614304520000
72425233621
oct624415000
9241476800
10106043904
115494a39a
122b620000
1318c7b795
1410125a48
15949a639
hex6521a00

106043904 has 100 divisors (see below), whose sum is σ = 316636914. Its totient is φ = 35334144.

The previous prime is 106043867. The next prime is 106043929. The reversal of 106043904 is 409340601.

It can be written as a sum of positive squares in only one way, i.e., 93083904 + 12960000 = 9648^2 + 3600^2 .

It is a super-2 number, since 2×1060439042 = 22490619151122432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 40194 + ... + 42750.

Almost surely, 2106043904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106043904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158318457).

106043904 is an abundant number, since it is smaller than the sum of its proper divisors (210593010).

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

106043904 is an frugal number, since it uses more digits than its factorization.

106043904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2587 (or 2562 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 106043904 is about 10297.7620869779. The cubic root of 106043904 is about 473.3276800665.

The spelling of 106043904 in words is "one hundred six million, forty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1152 1296 1536 1728 2304 2557 2592 3456 4608 5114 5184 6912 7671 10228 10368 13824 15342 20456 20736 23013 30684 40912 41472 46026 61368 69039 81824 92052 122736 138078 163648 184104 207117 245472 276156 327296 368208 414234 490944 552312 654592 736416 828468 981888 1104624 1309184 1472832 1656936 1963776 2209248 2945664 3313872 3927552 4418496 5891328 6627744 8836992 11782656 13255488 17673984 26510976 35347968 53021952 106043904