101379456 has 48 divisors (see below), whose sum is σ = 291733260. Its totient is φ = 33792768.

The previous prime is 101379427. The next prime is 101379463. The reversal of 101379456 is 654973101.

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

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 101379456.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 42850 + ... + 45153.

Almost surely, 2^101379456 is an apocalyptic number.

101379456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101379456 is an abundant number, since it is smaller than the sum of its proper divisors (190353804).

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

101379456 is an equidigital number, since it uses as much as digits as its factorization.

101379456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88023 (or 88008 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 101379456 is about 10068.7365642368. The cubic root of 101379456 is about 466.2834332151.

The spelling of 101379456 in words is "one hundred one million, three hundred seventy-nine thousand, four hundred fifty-six".