102072446604 has 144 divisors (see below), whose sum is σ = 267871571968. Its totient is φ = 32751298944.

The previous prime is 102072446591. The next prime is 102072446611. The reversal of 102072446604 is 406644270201.

102072446604 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 7 + 2 + 4 + 46 + 604 = 666.

It is a super-2 number, since 2×102072446604² (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).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30863919 + ... + 30867225.

Almost surely, 2^102072446604 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102072446604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133935785984).

102072446604 is an abundant number, since it is smaller than the sum of its proper divisors (165799125364).

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

102072446604 is a wasteful number, since it uses less digits than its factorization.

102072446604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3644 (or 3639 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 102072446604 in words is "one hundred two billion, seventy-two million, four hundred forty-six thousand, six hundred four".