105682656 has 48 divisors (see below), whose sum is σ = 284924304. Its totient is φ = 34274304.

The previous prime is 105682609. The next prime is 105682657. The reversal of 105682656 is 656286501.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×105682656² = 22337647558428672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105682657) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11325 + ... + 18428.

It is an arithmetic number, because the mean of its divisors is an integer number (5935923).

Almost surely, 2^105682656 is an apocalyptic number.

105682656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105682656 is an abundant number, since it is smaller than the sum of its proper divisors (179241648).

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

105682656 is a wasteful number, since it uses less digits than its factorization.

105682656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29803 (or 29795 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 105682656 is about 10280.2070018069. The cubic root of 105682656 is about 472.7895909596.

The spelling of 105682656 in words is "one hundred five million, six hundred eighty-two thousand, six hundred fifty-six".