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106342710 = 23529313943
BaseRepresentation
bin1100101011010…
…10100100110110
321102002202202220
412111222210312
5204210431320
614315143210
72430620025
oct625524466
9242082686
10106342710
1155033941
122b744b06
13190547a6
14101a28bc
159508e40
hex656a936

106342710 has 64 divisors (see below), whose sum is σ = 272609280. Its totient is φ = 26490240.

The previous prime is 106342697. The next prime is 106342711. The reversal of 106342710 is 17243601.

It is a super-2 number, since 2×1063427102 = 22617543940288200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106342711) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24999 + ... + 28941.

It is an arithmetic number, because the mean of its divisors is an integer number (4259520).

Almost surely, 2106342710 is an apocalyptic number.

106342710 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106342710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136304640).

106342710 is an abundant number, since it is smaller than the sum of its proper divisors (166266570).

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

106342710 is a wasteful number, since it uses less digits than its factorization.

106342710 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4013.

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 106342710 is about 10312.2601790296. The cubic root of 106342710 is about 473.7718373497.

The spelling of 106342710 in words is "one hundred six million, three hundred forty-two thousand, seven hundred ten".

Divisors: 1 2 3 5 6 10 15 29 30 31 58 62 87 93 145 155 174 186 290 310 435 465 870 899 930 1798 2697 3943 4495 5394 7886 8990 11829 13485 19715 23658 26970 39430 59145 114347 118290 122233 228694 244466 343041 366699 571735 611165 686082 733398 1143470 1222330 1715205 1833495 3430410 3544757 3666990 7089514 10634271 17723785 21268542 35447570 53171355 106342710