100713312 has 72 divisors (see below), whose sum is σ = 327324816. Its totient is φ = 28774656.

The previous prime is 100713293. The next prime is 100713329. The reversal of 100713312 is 213317001.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22963 + ... + 26994.

It is an arithmetic number, because the mean of its divisors is an integer number (4546178).

Almost surely, 2^100713312 is an apocalyptic number.

100713312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100713312 is an abundant number, since it is smaller than the sum of its proper divisors (226611504).

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

100713312 is a wasteful number, since it uses less digits than its factorization.

100713312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49980 (or 49969 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 100713312 is about 10035.6022240820. The cubic root of 100713312 is about 465.2599032653.

It can be divided in two parts, 100713 and 312, that added together give a triangular number (101025 = T₄₄₉).

The spelling of 100713312 in words is "one hundred million, seven hundred thirteen thousand, three hundred twelve".