106681577004 has 72 divisors (see below), whose sum is σ = 270271568112. Its totient is φ = 35480954880.

The previous prime is 106681576997. The next prime is 106681577039. The reversal of 106681577004 is 400775186601.

106681577004 is a `hidden beast` number, since 10 + 6 + 68 + 1 + 577 + 0 + 0 + 4 = 666.

It is a super-2 number, since 2×106681577004² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49365684 + ... + 49367844.

Almost surely, 2^106681577004 is an apocalyptic number.

It is an amenable number.

106681577004 is an abundant number, since it is smaller than the sum of its proper divisors (163589991108).

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

106681577004 is a wasteful number, since it uses less digits than its factorization.

106681577004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4607 (or 4602 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 106681577004 in words is "one hundred six billion, six hundred eighty-one million, five hundred seventy-seven thousand, four".