100238726025 has 27 divisors (see below), whose sum is σ = 179547202471. Its totient is φ = 53458121040.

The previous prime is 100238726023. The next prime is 100238726039. The reversal of 100238726025 is 520627832001.

The square root of 100238726025 is 316605.

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

100238726025 is a `hidden beast` number, since 10 + 0 + 2 + 38 + 7 + 2 + 602 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 36085941369 + 64152784656 = 189963^2 + 253284^2 .

It is not a de Polignac number, because 100238726025 - 2¹ = 100238726023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100238726023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4738522 + ... + 4759628.

Almost surely, 2^100238726025 is an apocalyptic number.

100238726025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

100238726025 is the 316605-th square number.

100238726025 is the 158303-rd centered octagonal number.

It is an amenable number.

100238726025 is a deficient number, since it is larger than the sum of its proper divisors (79308476446).

100238726025 is an frugal number, since it uses more digits than its factorization.

100238726025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42230 (or 21115 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Multiplying 100238726025 by its sum of digits (36), we get a square (3608594136900 = 1899630²).

The spelling of 100238726025 in words is "one hundred billion, two hundred thirty-eight million, seven hundred twenty-six thousand, twenty-five".