901111112 has 64 divisors (see below), whose sum is σ = 2036534400. Its totient is φ = 368727040.

The previous prime is 901111103. The next prime is 901111147. The reversal of 901111112 is 211111109.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21314 + ... + 47502.

It is an arithmetic number, because the mean of its divisors is an integer number (31820850).

Almost surely, 2^901111112 is an apocalyptic number.

901111112 is a gapful number since it is divisible by the number (92) 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 901111112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1018267200).

901111112 is an abundant number, since it is smaller than the sum of its proper divisors (1135423288).

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

901111112 is a wasteful number, since it uses less digits than its factorization.

901111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26246 (or 26242 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 17.

The square root of 901111112 is about 30018.5128212575. The cubic root of 901111112 is about 965.8865422632.

The spelling of 901111112 in words is "nine hundred one million, one hundred eleven thousand, one hundred twelve".