100630431729 has 63 divisors (see below), whose sum is σ = 156313048329. Its totient is φ = 64751558760.

The previous prime is 100630431701. The next prime is 100630431739. The reversal of 100630431729 is 927134036001.

The square root of 100630431729 is 317223.

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

100630431729 is a `hidden beast` number, since 1 + 0 + 0 + 630 + 4 + 3 + 17 + 2 + 9 = 666.

It is not a de Polignac number, because 100630431729 - 2⁹ = 100630431217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100630431693 and 100630431702.

It is not an unprimeable number, because it can be changed into a prime (100630431739) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 265515462 + ... + 265515840.

Almost surely, 2^100630431729 is an apocalyptic number.

100630431729 is the 317223-rd square number.

100630431729 is the 158612-nd centered octagonal number.

It is an amenable number.

100630431729 is a deficient number, since it is larger than the sum of its proper divisors (55682616600).

100630431729 is an frugal number, since it uses more digits than its factorization.

100630431729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

Multiplying 100630431729 by its sum of digits (36), we get a square (3622695542244 = 1903338²).

The spelling of 100630431729 in words is "one hundred billion, six hundred thirty million, four hundred thirty-one thousand, seven hundred twenty-nine".