106379000064 has 54 divisors (see below), whose sum is σ = 306716889206. Its totient is φ = 35459665920.

The previous prime is 106379000053. The next prime is 106379000071. The reversal of 106379000064 is 460000973601.

106379000064 is a `hidden beast` number, since 10 + 637 + 9 + 0 + 0 + 0 + 0 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 74751934464 + 31627065600 = 273408^2 + 177840^2 .

It is a super-2 number, since 2×106379000064² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 106378999992 and 106379000028.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23083417 + ... + 23088024.

Almost surely, 2^106379000064 is an apocalyptic number.

It is an amenable number.

106379000064 is an abundant number, since it is smaller than the sum of its proper divisors (200337889142).

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

106379000064 is an equidigital number, since it uses as much as digits as its factorization.

106379000064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46171463 (or 46171446 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

Adding to 106379000064 its reverse (460000973601), we get a palindrome (566379973665).

The spelling of 106379000064 in words is "one hundred six billion, three hundred seventy-nine million, sixty-four", and thus it is an aban number.