101667620304 has 60 divisors (see below), whose sum is σ = 287956215456. Its totient is φ = 33480899136.

The previous prime is 101667620297. The next prime is 101667620333. The reversal of 101667620304 is 403026766101.

It is a happy number.

101667620304 is a `hidden beast` number, since 10 + 16 + 6 + 7 + 620 + 3 + 0 + 4 = 666.

It is a super-4 number, since 4×101667620304⁴ (a number of 45 digits) contains 4444 as substring.

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

It is a congruent number.

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, 4241212 + ... + 4265115.

Almost surely, 2^101667620304 is an apocalyptic number.

It is an amenable number.

101667620304 is an abundant number, since it is smaller than the sum of its proper divisors (186288595152).

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

101667620304 is a wasteful number, since it uses less digits than its factorization.

101667620304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8506424 (or 8506415 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 101667620304 in words is "one hundred one billion, six hundred sixty-seven million, six hundred twenty thousand, three hundred four".