101534972 has 72 divisors (see below), whose sum is σ = 233092608. Its totient is φ = 37810080.

The previous prime is 101534963. The next prime is 101534981. The reversal of 101534972 is 279435101.

It is an interprime number because it is at equal distance from previous prime (101534963) and next prime (101534981).

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, 77273 + ... + 78575.

Almost surely, 2^101534972 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 101534972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116546304).

101534972 is an abundant number, since it is smaller than the sum of its proper divisors (131557636).

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

101534972 is a wasteful number, since it uses less digits than its factorization.

101534972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1359 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 101534972 is about 10076.4563215448. The cubic root of 101534972 is about 466.5217375348.

The spelling of 101534972 in words is "one hundred one million, five hundred thirty-four thousand, nine hundred seventy-two".