100162165691025 has 81 divisors (see below), whose sum is σ = 187547234589169. Its totient is φ = 51095459331840.

The previous prime is 100162165691017. The next prime is 100162165691057. The reversal of 100162165691025 is 520196561261001.

The square root of 100162165691025 is 10008105.

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

100162165691025 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 62 + 1 + 6 + 569 + 1 + 0 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29015707344129 + 71146458346896 = 5386623^2 + 8434836^2 .

It is not a de Polignac number, because 100162165691025 - 2³ = 100162165691017 is a prime.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3452781721 + ... + 3452810729.

Almost surely, 2^{100162165691025} is an apocalyptic number.

100162165691025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

100162165691025 is the 10008105-th square number.

100162165691025 is the 5004053-rd centered octagonal number.

It is an amenable number.

100162165691025 is a deficient number, since it is larger than the sum of its proper divisors (87385068898144).

100162165691025 is an frugal number, since it uses more digits than its factorization.

100162165691025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58080 (or 29040 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 100162165691025 in words is "one hundred trillion, one hundred sixty-two billion, one hundred sixty-five million, six hundred ninety-one thousand, twenty-five".