101397072 has 120 divisors (see below), whose sum is σ = 320887200. Its totient is φ = 27433728.

The previous prime is 101397071. The next prime is 101397103. The reversal of 101397072 is 270793101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101397071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43554 + ... + 45822.

It is an arithmetic number, because the mean of its divisors is an integer number (2674060).

Almost surely, 2^101397072 is an apocalyptic number.

101397072 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 101397072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160443600).

101397072 is an abundant number, since it is smaller than the sum of its proper divisors (219490128).

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

101397072 is a wasteful number, since it uses less digits than its factorization.

101397072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2313 (or 2300 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 30.

The square root of 101397072 is about 10069.6113132534. The cubic root of 101397072 is about 466.3104392561.

The spelling of 101397072 in words is "one hundred one million, three hundred ninety-seven thousand, seventy-two".