101912256 has 84 divisors (see below), whose sum is σ = 302978312. Its totient is φ = 33965568.

The previous prime is 101912249. The next prime is 101912281. The reversal of 101912256 is 652219101.

It is a super-2 number, since 2×101912256² = 20772215846019072, 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 11 ways as a sum of consecutive naturals, for example, 12276 + ... + 18828.

Almost surely, 2^101912256 is an apocalyptic number.

101912256 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 101912256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151489156).

101912256 is an abundant number, since it is smaller than the sum of its proper divisors (201066056).

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

101912256 is an frugal number, since it uses more digits than its factorization.

101912256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6580 (or 6558 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 101912256 is about 10095.1600284493. The cubic root of 101912256 is about 467.0988576641.

The spelling of 101912256 in words is "one hundred one million, nine hundred twelve thousand, two hundred fifty-six".