100151362089 has 27 divisors (see below), whose sum is σ = 150257869437. Its totient is φ = 66750485508.

The previous prime is 100151362079. The next prime is 100151362141. The reversal of 100151362089 is 980263151001.

The square root of 100151362089 is 316467.

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

100151362089 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 513 + 62 + 0 + 89 = 666.

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 100151362089 - 2⁹ = 100151361577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100151362039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 25631874 + ... + 25635780.

Almost surely, 2^100151362089 is an apocalyptic number.

100151362089 is the 316467-th square number.

100151362089 is the 158234-th centered octagonal number.

It is an amenable number.

100151362089 is a deficient number, since it is larger than the sum of its proper divisors (50106507348).

100151362089 is an frugal number, since it uses more digits than its factorization.

100151362089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7838 (or 3910 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

Multiplying 100151362089 by its sum of digits (36), we get a square (3605449035204 = 1898802²).

It can be divided in two parts, 10015136 and 2089, that added together give a square (10017225 = 3165²).

The spelling of 100151362089 in words is "one hundred billion, one hundred fifty-one million, three hundred sixty-two thousand, eighty-nine".