100672705 has 24 divisors (see below), whose sum is σ = 143200872. Its totient is φ = 67721472.

The previous prime is 100672687. The next prime is 100672709. The reversal of 100672705 is 507276001.

It can be written as a sum of positive squares in 4 ways, for example, as 51279921 + 49392784 = 7161^2 + 7028^2 .

It is not a de Polignac number, because 100672705 - 2¹⁵ = 100639937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100672709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9109 + ... + 16861.

It is an arithmetic number, because the mean of its divisors is an integer number (5966703).

Almost surely, 2^100672705 is an apocalyptic number.

It is an amenable number.

100672705 is a deficient number, since it is larger than the sum of its proper divisors (42528167).

100672705 is an equidigital number, since it uses as much as digits as its factorization.

100672705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7825 (or 7818 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 28.

The square root of 100672705 is about 10033.5788729645. The cubic root of 100672705 is about 465.1973648638.

The spelling of 100672705 in words is "one hundred million, six hundred seventy-two thousand, seven hundred five".