101662272 has 42 divisors (see below), whose sum is σ = 291398198. Its totient is φ = 33887232.

The previous prime is 101662271. The next prime is 101662289. The reversal of 101662272 is 272266101.

It can be written as a sum of positive squares in only one way, i.e., 96353856 + 5308416 = 9816^2 + 2304^2 .

It is not an unprimeable number, because it can be changed into a prime (101662271) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 87673 + ... + 88824.

Almost surely, 2^101662272 is an apocalyptic number.

101662272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101662272 is an abundant number, since it is smaller than the sum of its proper divisors (189735926).

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

101662272 is a wasteful number, since it uses less digits than its factorization.

101662272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176515 (or 176502 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 101662272 is about 10082.7710476833. The cubic root of 101662272 is about 466.7166241302.

The spelling of 101662272 in words is "one hundred one million, six hundred sixty-two thousand, two hundred seventy-two".