101349972 has 72 divisors (see below), whose sum is σ = 262525536. Its totient is φ = 32960064.

The previous prime is 101349967. The next prime is 101350003. The reversal of 101349972 is 279943101.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 319558 + ... + 319874.

It is an arithmetic number, because the mean of its divisors is an integer number (3646188).

Almost surely, 2^101349972 is an apocalyptic number.

101349972 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 101349972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131262768).

101349972 is an abundant number, since it is smaller than the sum of its proper divisors (161175564).

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

101349972 is a wasteful number, since it uses less digits than its factorization.

101349972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 101349972 is about 10067.2723217364. The cubic root of 101349972 is about 466.2382260490.

The spelling of 101349972 in words is "one hundred one million, three hundred forty-nine thousand, nine hundred seventy-two".