101272632 has 16 divisors (see below), whose sum is σ = 253181640. Its totient is φ = 33757536.

The previous prime is 101272607. The next prime is 101272637. The reversal of 101272632 is 236272101.

It is a super-2 number, since 2×101272632² = 20512291984414848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 4219693 = 101272632 / (1 + 0 + 1 + 2 + 7 + 2 + 6 + 3 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101272637) 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, 2109823 + ... + 2109870.

Almost surely, 2^101272632 is an apocalyptic number.

101272632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101272632 is an abundant number, since it is smaller than the sum of its proper divisors (151909008).

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

101272632 is a wasteful number, since it uses less digits than its factorization.

101272632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4219702 (or 4219698 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 101272632 is about 10063.4304290336. The cubic root of 101272632 is about 466.1196006571.

The spelling of 101272632 in words is "one hundred one million, two hundred seventy-two thousand, six hundred thirty-two".