106588872 has 80 divisors (see below), whose sum is σ = 321538140. Its totient is φ = 32793984.

The previous prime is 106588843. The next prime is 106588913. The reversal of 106588872 is 278885601.

It can be written as a sum of positive squares in 2 ways, for example, as 76842756 + 29746116 = 8766^2 + 5454^2 .

It is a super-2 number, since 2×106588872² = 22722375268464768, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2098 + ... + 14750.

Almost surely, 2^106588872 is an apocalyptic number.

106588872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106588872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160769070).

106588872 is an abundant number, since it is smaller than the sum of its proper divisors (214949268).

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

106588872 is a wasteful number, since it uses less digits than its factorization.

106588872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12684 (or 12671 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 106588872 is about 10324.1886848314. The cubic root of 106588872 is about 474.1371178378.

The spelling of 106588872 in words is "one hundred six million, five hundred eighty-eight thousand, eight hundred seventy-two".