101393072 has 40 divisors (see below), whose sum is σ = 216749520. Its totient is φ = 45562880.

The previous prime is 101393069. The next prime is 101393107. The reversal of 101393072 is 270393101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12428 + ... + 18900.

It is an arithmetic number, because the mean of its divisors is an integer number (5418738).

Almost surely, 2^101393072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101393072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108374760).

101393072 is an abundant number, since it is smaller than the sum of its proper divisors (115356448).

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

101393072 is a wasteful number, since it uses less digits than its factorization.

101393072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6581 (or 6575 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 26.

The square root of 101393072 is about 10069.4126938963. The cubic root of 101393072 is about 466.3043073687.

The spelling of 101393072 in words is "one hundred one million, three hundred ninety-three thousand, seventy-two".