15225092100 has 189 divisors, whose sum is σ = 49643643567. Its totient is φ = 4051140480.

The previous prime is 15225092089. The next prime is 15225092137. The reversal of 15225092100 is 129052251.

The square root of 15225092100 is 123390.

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

15225092100 is a `hidden beast` number, since 1 + 52 + 2 + 509 + 2 + 100 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1060283844 + 14164808256 = 32562^2 + 119016^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 33315072 + ... + 33315528.

Almost surely, 2^15225092100 is an apocalyptic number.

15225092100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

15225092100 is the 123390-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15225092100

15225092100 is an abundant number, since it is smaller than the sum of its proper divisors (34418551467).

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

15225092100 is an frugal number, since it uses more digits than its factorization.

15225092100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 15225092100 in words is "fifteen billion, two hundred twenty-five million, ninety-two thousand, one hundred".