90106956 has 72 divisors (see below), whose sum is σ = 236780544. Its totient is φ = 28861920.

The previous prime is 90106927. The next prime is 90106967. The reversal of 90106956 is 65960109.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 90106956.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 293355 + ... + 293661.

Almost surely, 2^90106956 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 90106956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118390272).

90106956 is an abundant number, since it is smaller than the sum of its proper divisors (146673588).

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

90106956 is a wasteful number, since it uses less digits than its factorization.

90106956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 90106956 is about 9492.4683828812. The cubic root of 90106956 is about 448.3179277592.

The spelling of 90106956 in words is "ninety million, one hundred six thousand, nine hundred fifty-six".