101507152 has 20 divisors (see below), whose sum is σ = 197308180. Its totient is φ = 50588928.

The previous prime is 101507143. The next prime is 101507167. The reversal of 101507152 is 251705101.

It can be written as a sum of positive squares in 2 ways, for example, as 30206016 + 71301136 = 5496^2 + 8444^2 .

It is a super-2 number, since 2×101507152² = 20607403814302208, 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, 5127 + ... + 15142.

It is an arithmetic number, because the mean of its divisors is an integer number (9865409).

Almost surely, 2^101507152 is an apocalyptic number.

It is an amenable number.

101507152 is a deficient number, since it is larger than the sum of its proper divisors (95801028).

101507152 is a wasteful number, since it uses less digits than its factorization.

101507152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20590 (or 20584 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 22.

The square root of 101507152 is about 10075.0757813527. The cubic root of 101507152 is about 466.4791255493.

The spelling of 101507152 in words is "one hundred one million, five hundred seven thousand, one hundred fifty-two".