107186144004 has 18 divisors (see below), whose sum is σ = 270942752990. Its totient is φ = 35728714656.

The previous prime is 107186143993. The next prime is 107186144069. The reversal of 107186144004 is 400441681701.

It can be written as a sum of positive squares in only one way, i.e., 96913916100 + 10272227904 = 311310^2 + 101352^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×107186144004² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2977392889 = 107186144004 / (1 + 0 + 7 + 1 + 8 + 6 + 1 + 4 + 4 + 0 + 0 + 4).

It is a self number, because there is not a number n which added to its sum of digits gives 107186144004.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1488696409 + ... + 1488696480.

Almost surely, 2^107186144004 is an apocalyptic number.

It is an amenable number.

107186144004 is an abundant number, since it is smaller than the sum of its proper divisors (163756608986).

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

107186144004 is a wasteful number, since it uses less digits than its factorization.

107186144004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2977392899 (or 2977392894 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 107186144004 in words is "one hundred seven billion, one hundred eighty-six million, one hundred forty-four thousand, four".