101531972 has 18 divisors (see below), whose sum is σ = 187527438. Its totient is φ = 48093408.

The previous prime is 101531909. The next prime is 101531993. The reversal of 101531972 is 279135101.

It can be written as a sum of positive squares in only one way, i.e., 51036736 + 50495236 = 7144^2 + 7106^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 33713 + ... + 36600.

It is an arithmetic number, because the mean of its divisors is an integer number (10418191).

Almost surely, 2^101531972 is an apocalyptic number.

It is an amenable number.

101531972 is a deficient number, since it is larger than the sum of its proper divisors (85995466).

101531972 is a wasteful number, since it uses less digits than its factorization.

101531972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70355 (or 70334 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 29.

The square root of 101531972 is about 10076.3074585882. The cubic root of 101531972 is about 466.5171427994.

The spelling of 101531972 in words is "one hundred one million, five hundred thirty-one thousand, nine hundred seventy-two".