101085312 has 64 divisors (see below), whose sum is σ = 272584800. Its totient is φ = 33183744.

The previous prime is 101085311. The next prime is 101085343. The reversal of 101085312 is 213580101.

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

It is not an unprimeable number, because it can be changed into a prime (101085311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23764 + ... + 27692.

Almost surely, 2^101085312 is an apocalyptic number.

101085312 is a gapful number since it is divisible by the number (12) 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 101085312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136292400).

101085312 is an abundant number, since it is smaller than the sum of its proper divisors (171499488).

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

101085312 is an equidigital number, since it uses as much as digits as its factorization.

101085312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4013 (or 4001 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 101085312 is about 10054.1191558485. The cubic root of 101085312 is about 465.8320355939.

The spelling of 101085312 in words is "one hundred one million, eighty-five thousand, three hundred twelve".