106858379664 has 45 divisors (see below), whose sum is σ = 299066027169. Its totient is φ = 35618152320.

The previous prime is 106858379653. The next prime is 106858379669. The reversal of 106858379664 is 466973858601.

The square root of 106858379664 is 326892.

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

It can be written as a sum of positive squares in only one way, i.e., 106607474064 + 250905600 = 326508^2 + 15840^2 .

It is a super-2 number, since 2×106858379664² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106858379669) 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, 3909084 + ... + 3936324.

Almost surely, 2^106858379664 is an apocalyptic number.

106858379664 is the 326892-nd square number.

It is an amenable number.

106858379664 is an abundant number, since it is smaller than the sum of its proper divisors (192207647505).

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

106858379664 is an frugal number, since it uses more digits than its factorization.

106858379664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54496 (or 27246 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 106858379664 in words is "one hundred six billion, eight hundred fifty-eight million, three hundred seventy-nine thousand, six hundred sixty-four".