101090752 has 112 divisors (see below), whose sum is σ = 245790720. Its totient is φ = 40320000.

The previous prime is 101090729. The next prime is 101090767. The reversal of 101090752 is 257090101.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 402627 + ... + 402877.

It is an arithmetic number, because the mean of its divisors is an integer number (2194560).

Almost surely, 2^101090752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101090752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122895360).

101090752 is an abundant number, since it is smaller than the sum of its proper divisors (144699968).

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

101090752 is a wasteful number, since it uses less digits than its factorization.

101090752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 25.

The square root of 101090752 is about 10054.3896880915. The cubic root of 101090752 is about 465.8403918387.

The spelling of 101090752 in words is "one hundred one million, ninety thousand, seven hundred fifty-two".