100143767025 has 135 divisors (see below), whose sum is σ = 193225452069. Its totient is φ = 49579637760.

The previous prime is 100143767011. The next prime is 100143767027. The reversal of 100143767025 is 520767341001.

It is a happy number.

The square root of 100143767025 is 316455.

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

It can be written as a sum of positive squares in 22 ways, for example, as 75691564641 + 24452202384 = 275121^2 + 156372^2 .

It is not a de Polignac number, because 100143767025 - 2⁷ = 100143766897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100143767027) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1371832389 + ... + 1371832461.

Almost surely, 2^100143767025 is an apocalyptic number.

100143767025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

100143767025 is the 316455-th square number.

100143767025 is the 158228-th centered octagonal number.

It is an amenable number.

100143767025 is a deficient number, since it is larger than the sum of its proper divisors (93081685044).

100143767025 is an frugal number, since it uses more digits than its factorization.

100143767025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

Multiplying 100143767025 by its sum of digits (36), we get a square (3605175612900 = 1898730²).

The spelling of 100143767025 in words is "one hundred billion, one hundred forty-three million, seven hundred sixty-seven thousand, twenty-five".