101161272 has 32 divisors (see below), whose sum is σ = 253440000. Its totient is φ = 33648864.

The previous prime is 101161243. The next prime is 101161279. The reversal of 101161272 is 272161101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101161279) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7753 + ... + 16199.

It is an arithmetic number, because the mean of its divisors is an integer number (7920000).

Almost surely, 2^101161272 is an apocalyptic number.

101161272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101161272 is an abundant number, since it is smaller than the sum of its proper divisors (152278728).

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

101161272 is a wasteful number, since it uses less digits than its factorization.

101161272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8955 (or 8951 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 21.

The square root of 101161272 is about 10057.8960026439. The cubic root of 101161272 is about 465.9486886837.

The spelling of 101161272 in words is "one hundred one million, one hundred sixty-one thousand, two hundred seventy-two".