361968100 has 36 divisors (see below), whose sum is σ = 845894644. Its totient is φ = 133649280.

The previous prime is 361968067. The next prime is 361968137. The reversal of 361968100 is 1869163.

It can be written as a sum of positive squares in 6 ways, for example, as 140375104 + 221592996 = 11848^2 + 14886^2 .

It is a super-2 number, since 2×361968100² = 262041810835220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137919 + ... + 140518.

Almost surely, 2^361968100 is an apocalyptic number.

It is an amenable number.

361968100 is an abundant number, since it is smaller than the sum of its proper divisors (483926544).

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

361968100 is a wasteful number, since it uses less digits than its factorization.

361968100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278464 (or 278457 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 361968100 is about 19025.4592585830. The cubic root of 361968100 is about 712.6726615511.

The spelling of 361968100 in words is "three hundred sixty-one million, nine hundred sixty-eight thousand, one hundred".