100672944100 has 27 divisors (see below), whose sum is σ = 218467174107. Its totient is φ = 40267908480.

The previous prime is 100672944077. The next prime is 100672944103. The reversal of 100672944100 is 1449276001.

The square root of 100672944100 is 317290.

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

It can be written as a sum of positive squares in 4 ways, for example, as 16623976356 + 84048967744 = 128934^2 + 289912^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100672944103) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3157036 + ... + 3188764.

Almost surely, 2^100672944100 is an apocalyptic number.

100672944100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100672944100 is the 317290-th square number.

It is an amenable number.

100672944100 is an abundant number, since it is smaller than the sum of its proper divisors (117794230007).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100672944100 is an frugal number, since it uses more digits than its factorization.

100672944100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63472 (or 31736 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The spelling of 100672944100 in words is "one hundred billion, six hundred seventy-two million, nine hundred forty-four thousand, one hundred".