101056116 has 48 divisors (see below), whose sum is σ = 270337536. Its totient is φ = 28781664.

The previous prime is 101056093. The next prime is 101056133. The reversal of 101056116 is 611650101.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 101056092 and 101056101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27415 + ... + 30881.

It is an arithmetic number, because the mean of its divisors is an integer number (5632032).

Almost surely, 2^101056116 is an apocalyptic number.

It is an amenable number.

101056116 is an abundant number, since it is smaller than the sum of its proper divisors (169281420).

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

101056116 is a wasteful number, since it uses less digits than its factorization.

101056116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3828 (or 3826 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

The square root of 101056116 is about 10052.6671087826. The cubic root of 101056116 is about 465.7871832429.

The spelling of 101056116 in words is "one hundred one million, fifty-six thousand, one hundred sixteen".