100834827025 has 27 divisors (see below), whose sum is σ = 128241995763. Its totient is φ = 78649545600.

The previous prime is 100834826969. The next prime is 100834827031. The reversal of 100834827025 is 520728438001.

It is a happy number.

The square root of 100834827025 is 317545.

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

It can be written as a sum of positive squares in 13 ways, for example, as 100104530449 + 730296576 = 316393^2 + 27024^2 .

It is not a de Polignac number, because 100834827025 - 2¹⁷ = 100834695953 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 65095951 + ... + 65097499.

Almost surely, 2^100834827025 is an apocalyptic number.

100834827025 is the 317545-th square number.

100834827025 is the 158773-rd centered octagonal number.

It is an amenable number.

100834827025 is a deficient number, since it is larger than the sum of its proper divisors (27407168738).

100834827025 is an frugal number, since it uses more digits than its factorization.

100834827025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3190 (or 1595 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The spelling of 100834827025 in words is "one hundred billion, eight hundred thirty-four million, eight hundred twenty-seven thousand, twenty-five".