106872579 has 18 divisors (see below), whose sum is σ = 168567516. Its totient is φ = 64708920.

The previous prime is 106872547. The next prime is 106872581. The reversal of 106872579 is 975278601.

106872579 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 72 + 579 = 666.

It is not a de Polignac number, because 106872579 - 2⁵ = 106872547 is a prime.

It is a super-2 number, since 2×106872579² = 22843496284222482, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106872529) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 102342 + ... + 103380.

It is an arithmetic number, because the mean of its divisors is an integer number (9364862).

Almost surely, 2^106872579 is an apocalyptic number.

106872579 is a deficient number, since it is larger than the sum of its proper divisors (61694937).

106872579 is an equidigital number, since it uses as much as digits as its factorization.

106872579 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2095 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 106872579 is about 10337.9194715378. The cubic root of 106872579 is about 474.5574145226.

The spelling of 106872579 in words is "one hundred six million, eight hundred seventy-two thousand, five hundred seventy-nine".