106176919104 has 63 divisors (see below), whose sum is σ = 304359385057. Its totient is φ = 35389699584.

The previous prime is 106176919097. The next prime is 106176919109. The reversal of 106176919104 is 401919671601.

The square root of 106176919104 is 325848.

It is a perfect power (a square), and thus also a powerful number.

106176919104 is a `hidden beast` number, since 1 + 0 + 617 + 6 + 9 + 19 + 10 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 102425601600 + 3751317504 = 320040^2 + 61248^2 .

It is a super-2 number, since 2×106176919104² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106176919104.

It is not an unprimeable number, because it can be changed into a prime (106176919109) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7813564 + ... + 7827140.

Almost surely, 2^106176919104 is an apocalyptic number.

106176919104 is the 325848-th square number.

It is an amenable number.

106176919104 is an abundant number, since it is smaller than the sum of its proper divisors (198182465953).

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

106176919104 is an frugal number, since it uses more digits than its factorization.

106176919104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27172 (or 13582 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The spelling of 106176919104 in words is "one hundred six billion, one hundred seventy-six million, nine hundred nineteen thousand, one hundred four".