100061180964 has 36 divisors (see below), whose sum is σ = 253078538076. Its totient is φ = 33334459968.

The previous prime is 100061180963. The next prime is 100061180977. The reversal of 100061180964 is 469081160001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 12918140964 + 87143040000 = 113658^2 + 295200^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (100061180963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 739539 + ... + 864314.

It is an arithmetic number, because the mean of its divisors is an integer number (7029959391).

Almost surely, 2^100061180964 is an apocalyptic number.

It is an amenable number.

100061180964 is an abundant number, since it is smaller than the sum of its proper divisors (153017357112).

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

100061180964 is a wasteful number, since it uses less digits than its factorization.

100061180964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1605596 (or 1605591 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 100061180964 in words is "one hundred billion, sixty-one million, one hundred eighty thousand, nine hundred sixty-four".