101926656 has 216 divisors, whose sum is σ = 328111056. Its totient is φ = 30228480.

The previous prime is 101926609. The next prime is 101926673. The reversal of 101926656 is 656629101.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 101926656.

It is a congruent number.

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, 1227991 + ... + 1228073.

Almost surely, 2^101926656 is an apocalyptic number.

101926656 is a gapful number since it is divisible by the number (16) 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 101926656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164055528).

101926656 is an abundant number, since it is smaller than the sum of its proper divisors (226184400).

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

101926656 is a wasteful number, since it uses less digits than its factorization.

101926656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 101926656 is about 10095.8732163196. The cubic root of 101926656 is about 467.1208566759.

The spelling of 101926656 in words is "one hundred one million, nine hundred twenty-six thousand, six hundred fifty-six".