101090112 has 28 divisors (see below), whose sum is σ = 267468096. Its totient is φ = 33696640.

The previous prime is 101090111. The next prime is 101090123. The reversal of 101090112 is 211090101.

It is a junction number, because it is equal to n+sod(n) for n = 101090091 and 101090100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101090111) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 263064 + ... + 263447.

It is an arithmetic number, because the mean of its divisors is an integer number (9552432).

Almost surely, 2^101090112 is an apocalyptic number.

101090112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101090112 is an abundant number, since it is smaller than the sum of its proper divisors (166377984).

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

101090112 is an equidigital number, since it uses as much as digits as its factorization.

101090112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526526 (or 526516 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

The square root of 101090112 is about 10054.3578611466. The cubic root of 101090112 is about 465.8394087666.

The spelling of 101090112 in words is "one hundred one million, ninety thousand, one hundred twelve".