101368272 has 20 divisors (see below), whose sum is σ = 261868160. Its totient is φ = 33789408.

The previous prime is 101368261. The next prime is 101368279. The reversal of 101368272 is 272863101.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101368279) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1055872 + ... + 1055967.

It is an arithmetic number, because the mean of its divisors is an integer number (13093408).

Almost surely, 2^101368272 is an apocalyptic number.

101368272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101368272 is an abundant number, since it is smaller than the sum of its proper divisors (160499888).

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

101368272 is a wasteful number, since it uses less digits than its factorization.

101368272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2111850 (or 2111844 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 101368272 is about 10068.1811664272. The cubic root of 101368272 is about 466.2662860668.

The spelling of 101368272 in words is "one hundred one million, three hundred sixty-eight thousand, two hundred seventy-two".