100671674944 has 63 divisors (see below), whose sum is σ = 212303799547. Its totient is φ = 47354599424.

The previous prime is 100671674911. The next prime is 100671674959. The reversal of 100671674944 is 449476176001.

It is a happy number.

The square root of 100671674944 is 317288.

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 1824314944 + 98847360000 = 42712^2 + 314400^2 .

It is a super-2 number, since 2×100671674944² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 43150002 + ... + 43152334.

Almost surely, 2^100671674944 is an apocalyptic number.

100671674944 is the 317288-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100671674944

100671674944 is an abundant number, since it is smaller than the sum of its proper divisors (111632124603).

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

100671674944 is an frugal number, since it uses more digits than its factorization.

100671674944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4712 (or 2352 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 49.

Multiplying 100671674944 by its sum of digits (49), we get a square (4932912072256 = 2221016²).

The spelling of 100671674944 in words is "one hundred billion, six hundred seventy-one million, six hundred seventy-four thousand, nine hundred forty-four".