90847988100 has 405 divisors, whose sum is σ = 314431487293. Its totient is φ = 22685322240.

The previous prime is 90847988081. The next prime is 90847988113. The reversal of 90847988100 is 188974809.

The square root of 90847988100 is 301410.

It is a perfect power (a square), and thus also a powerful number.

90847988100 is a `hidden beast` number, since 90 + 8 + 479 + 8 + 81 + 0 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 10850436 + 90837137664 = 3294^2 + 301392^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a super-2 number, since 2×90847988100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 461157202 + ... + 461157398.

Almost surely, 2^90847988100 is an apocalyptic number.

90847988100 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

90847988100 is the 301410-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90847988100

90847988100 is an abundant number, since it is smaller than the sum of its proper divisors (223583499193).

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

90847988100 is a wasteful number, since it uses less digits than its factorization.

90847988100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 90847988100 in words is "ninety billion, eight hundred forty-seven million, nine hundred eighty-eight thousand, one hundred".