101393712 has 240 divisors, whose sum is σ = 352602432. Its totient is φ = 26542080.

The previous prime is 101393701. The next prime is 101393731. The reversal of 101393712 is 217393101.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1045248 + ... + 1045344.

Almost surely, 2^101393712 is an apocalyptic number.

101393712 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 101393712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176301216).

101393712 is an abundant number, since it is smaller than the sum of its proper divisors (251208720).

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

101393712 is a wasteful number, since it uses less digits than its factorization.

101393712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 101393712 is about 10069.4444732567. Note that the first 4 decimals coincide. The cubic root of 101393712 is about 466.3052884815.

The spelling of 101393712 in words is "one hundred one million, three hundred ninety-three thousand, seven hundred twelve".