106879573300 has 54 divisors (see below), whose sum is σ = 244777990758. Its totient is φ = 40501719360.

The previous prime is 106879573279. The next prime is 106879573321. The reversal of 106879573300 is 3375978601.

It is an interprime number because it is at equal distance from previous prime (106879573279) and next prime (106879573321).

It can be written as a sum of positive squares in 3 ways, for example, as 18891402916 + 87988170384 = 137446^2 + 296628^2 .

It is a super-2 number, since 2×106879573300² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 1444227 + ... + 1516426.

Almost surely, 2^106879573300 is an apocalyptic number.

106879573300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106879573300 is an abundant number, since it is smaller than the sum of its proper divisors (137898417458).

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

106879573300 is a wasteful number, since it uses less digits than its factorization.

106879573300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2960705 (or 2960679 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 49.

The spelling of 106879573300 in words is "one hundred six billion, eight hundred seventy-nine million, five hundred seventy-three thousand, three hundred".