106892379136 has 99 divisors (see below), whose sum is σ = 227367497487. Its totient is φ = 50218598400.

The previous prime is 106892379131. The next prime is 106892379197. The reversal of 106892379136 is 631973298601.

The square root of 106892379136 is 326944.

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

It can be written as a sum of positive squares in 4 ways, for example, as 41225241600 + 65667137536 = 203040^2 + 256256^2 .

It is a super-2 number, since 2×106892379136² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106892379131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 177857236 + ... + 177857836.

Almost surely, 2^106892379136 is an apocalyptic number.

106892379136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

106892379136 is the 326944-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106892379136

106892379136 is an abundant number, since it is smaller than the sum of its proper divisors (120475118351).

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

106892379136 is an frugal number, since it uses more digits than its factorization.

106892379136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 55.

The spelling of 106892379136 in words is "one hundred six billion, eight hundred ninety-two million, three hundred seventy-nine thousand, one hundred thirty-six".