101456256 has 64 divisors (see below), whose sum is σ = 294004800. Its totient is φ = 30743040.

The previous prime is 101456249. The next prime is 101456261. The reversal of 101456256 is 652654101.

It is a tau number, because it is divible by the number of its divisors (64).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7786 + ... + 16233.

It is an arithmetic number, because the mean of its divisors is an integer number (4593825).

Almost surely, 2^101456256 is an apocalyptic number.

101456256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101456256 is an abundant number, since it is smaller than the sum of its proper divisors (192548544).

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

101456256 is a wasteful number, since it uses less digits than its factorization.

101456256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24047 (or 24035 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 101456256 is about 10072.5496275769. The cubic root of 101456256 is about 466.4011478229.

The spelling of 101456256 in words is "one hundred one million, four hundred fifty-six thousand, two hundred fifty-six".