8952290100 has 432 divisors, whose sum is σ = 33201499968. Its totient is φ = 2072770560.

The previous prime is 8952290051. The next prime is 8952290101. The reversal of 8952290100 is 10922598.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8952290101) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5369467 + ... + 5371133.

It is an arithmetic number, because the mean of its divisors is an integer number (76855324).

Almost surely, 2^8952290100 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 8952290100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16600749984).

8952290100 is an abundant number, since it is smaller than the sum of its proper divisors (24249209868).

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

8952290100 is a wasteful number, since it uses less digits than its factorization.

8952290100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1726 (or 1707 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 8952290100 is about 94616.5424225595. The cubic root of 8952290100 is about 2076.4017315370.

The spelling of 8952290100 in words is "eight billion, nine hundred fifty-two million, two hundred ninety thousand, one hundred".