106332508377 has 48 divisors (see below), whose sum is σ = 160004452608. Its totient is φ = 70566733440.

The previous prime is 106332508339. The next prime is 106332508391. The reversal of 106332508377 is 773805233601.

106332508377 is a `hidden beast` number, since 1 + 0 + 633 + 2 + 5 + 0 + 8 + 3 + 7 + 7 = 666.

It is not a de Polignac number, because 106332508377 - 2⁶ = 106332508313 is a prime.

It is a super-2 number, since 2×106332508377² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106332500377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86378352 + ... + 86379582.

It is an arithmetic number, because the mean of its divisors is an integer number (3333426096).

Almost surely, 2^106332508377 is an apocalyptic number.

It is an amenable number.

106332508377 is a deficient number, since it is larger than the sum of its proper divisors (53671944231).

106332508377 is an equidigital number, since it uses as much as digits as its factorization.

106332508377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2572 (or 2560 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 106332508377 in words is "one hundred six billion, three hundred thirty-two million, five hundred eight thousand, three hundred seventy-seven".