90101952 has 84 divisors (see below), whose sum is σ = 271886680. Its totient is φ = 28449792.

The previous prime is 90101923. The next prime is 90101953. The reversal of 90101952 is 25910109.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90101953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6828 + ... + 15060.

Almost surely, 2^90101952 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 90101952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135943340).

90101952 is an abundant number, since it is smaller than the sum of its proper divisors (181784728).

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

90101952 is a wasteful number, since it uses less digits than its factorization.

90101952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8270 (or 8257 counting only the distinct ones).

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

The square root of 90101952 is about 9492.2048018361. The cubic root of 90101952 is about 448.3096286425.

The spelling of 90101952 in words is "ninety million, one hundred one thousand, nine hundred fifty-two".