106616219904 has 108 divisors (see below), whose sum is σ = 318001074300. Its totient is φ = 34313244672.

The previous prime is 106616219903. The next prime is 106616219951. The reversal of 106616219904 is 409912616601.

It is a happy number.

106616219904 is a `hidden beast` number, since 1 + 0 + 6 + 616 + 21 + 9 + 9 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 88565760000 + 18050459904 = 297600^2 + 134352^2 .

It is a super-2 number, since 2×106616219904² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106616219904.

It is not an unprimeable number, because it can be changed into a prime (106616219903) 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, 731019 + ... + 864650.

Almost surely, 2^106616219904 is an apocalyptic number.

It is an amenable number.

106616219904 is an abundant number, since it is smaller than the sum of its proper divisors (211384854396).

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

106616219904 is a wasteful number, since it uses less digits than its factorization.

106616219904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1595720 (or 1595703 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 106616219904 in words is "one hundred six billion, six hundred sixteen million, two hundred nineteen thousand, nine hundred four".