106314580 has 24 divisors (see below), whose sum is σ = 230960520. Its totient is φ = 41059200.

The previous prime is 106314569. The next prime is 106314601. The reversal of 106314580 is 85413601.

It can be written as a sum of positive squares in 4 ways, for example, as 13808656 + 92505924 = 3716^2 + 9618^2 .

It is a super-2 number, since 2×106314580² = 22605579841152800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91071 + ... + 92230.

It is an arithmetic number, because the mean of its divisors is an integer number (9623355).

Almost surely, 2^106314580 is an apocalyptic number.

106314580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106314580 is an abundant number, since it is smaller than the sum of its proper divisors (124645940).

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

106314580 is a wasteful number, since it uses less digits than its factorization.

106314580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183339 (or 183337 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 106314580 is about 10310.8961783154. The cubic root of 106314580 is about 473.7300592874.

The spelling of 106314580 in words is "one hundred six million, three hundred fourteen thousand, five hundred eighty".