101251072 has 48 divisors (see below), whose sum is σ = 218083320. Its totient is φ = 46718976.

The previous prime is 101251069. The next prime is 101251091. The reversal of 101251072 is 270152101.

It is a super-2 number, since 2×101251072² = 20503559162298368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24723 + ... + 28525.

Almost surely, 2^101251072 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 101251072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109041660).

101251072 is an abundant number, since it is smaller than the sum of its proper divisors (116832248).

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

101251072 is an equidigital number, since it uses as much as digits as its factorization.

101251072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3838 (or 3818 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 19.

The square root of 101251072 is about 10062.3591667163. The cubic root of 101251072 is about 466.0865208025.

The spelling of 101251072 in words is "one hundred one million, two hundred fifty-one thousand, seventy-two".