90498100 has 216 divisors, whose sum is σ = 263608128. Its totient is φ = 26611200.

The previous prime is 90498071. The next prime is 90498103. The reversal of 90498100 is 189409.

90498100 = T₂₇₄ + T₂₇₅ + ... + T₈₂₅.

It is a super-2 number, since 2×90498100² = 16379812207220000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90498103) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1239664 + ... + 1239736.

It is an arithmetic number, because the mean of its divisors is an integer number (1220408).

Almost surely, 2^90498100 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 90498100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131804064).

90498100 is an abundant number, since it is smaller than the sum of its proper divisors (173110028).

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

90498100 is a wasteful number, since it uses less digits than its factorization.

90498100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 90498100 is about 9513.0489329131. The cubic root of 90498100 is about 448.9656903395.

The spelling of 90498100 in words is "ninety million, four hundred ninety-eight thousand, one hundred".