101009952 has 36 divisors (see below), whose sum is σ = 287247870. Its totient is φ = 33669888.

The previous prime is 101009941. The next prime is 101009957. The reversal of 101009952 is 259900101.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 99920016 + 1089936 = 9996^2 + 1044^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (101009957) 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, 175077 + ... + 175652.

Almost surely, 2^101009952 is an apocalyptic number.

101009952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101009952 is an abundant number, since it is smaller than the sum of its proper divisors (186237918).

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

101009952 is a wasteful number, since it uses less digits than its factorization.

101009952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350745 (or 350734 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The square root of 101009952 is about 10050.3707394305. The cubic root of 101009952 is about 465.7162461720.

The spelling of 101009952 in words is "one hundred one million, nine thousand, nine hundred fifty-two".