100249255127025 has 45 divisors (see below), whose sum is σ = 185697109156251. Its totient is φ = 53466029102160.

The previous prime is 100249255126931. The next prime is 100249255127071. The reversal of 100249255127025 is 520721552942001.

It is a happy number.

The square root of 100249255127025 is 10012455.

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

100249255127025 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 4 + 9 + 2 + 551 + 2 + 70 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 36089731845729 + 64159523281296 = 6007473^2 + 8009964^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 100249255127025 - 2⁷ = 100249255126897 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 450449226 + ... + 450671724.

Almost surely, 2^{100249255127025} is an apocalyptic number.

100249255127025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

100249255127025 is the 10012455-th square number.

100249255127025 is the 5006228-th centered octagonal number.

It is an amenable number.

100249255127025 is a deficient number, since it is larger than the sum of its proper divisors (85447854029226).

100249255127025 is an frugal number, since it uses more digits than its factorization.

100249255127025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445020 (or 222507 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 100249255127025 in words is "one hundred trillion, two hundred forty-nine billion, two hundred fifty-five million, one hundred twenty-seven thousand, twenty-five".