100147154096025 has 81 divisors (see below), whose sum is σ = 182380130537943. Its totient is φ = 52531408454400.

The previous prime is 100147154096023. The next prime is 100147154096053. The reversal of 100147154096025 is 520690451741001.

The square root of 100147154096025 is 10007355.

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

100147154096025 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 47 + 1 + 540 + 9 + 60 + 2 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 66898183915161 + 33248970180864 = 8179131^2 + 5766192^2 .

It is not a de Polignac number, because 100147154096025 - 2¹ = 100147154096023 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (100147154096023) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 9156724357 + ... + 9156735293.

Almost surely, 2^{100147154096025} is an apocalyptic number.

100147154096025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

100147154096025 is the 10007355-th square number.

100147154096025 is the 5003678-th centered octagonal number.

It is an amenable number.

100147154096025 is a deficient number, since it is larger than the sum of its proper divisors (82232976441918).

100147154096025 is an frugal number, since it uses more digits than its factorization.

100147154096025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22012 (or 11006 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 100147154096025 in words is "one hundred trillion, one hundred forty-seven billion, one hundred fifty-four million, ninety-six thousand, twenty-five".