106892889 has 24 divisors (see below), whose sum is σ = 155197728. Its totient is φ = 65214720.

The previous prime is 106892887. The next prime is 106892897. The reversal of 106892889 is 988298601.

It is not a de Polignac number, because 106892889 - 2¹ = 106892887 is a prime.

It is a super-2 number, since 2×106892889² = 22852179437532642, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (106892887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69054 + ... + 70584.

It is an arithmetic number, because the mean of its divisors is an integer number (6466572).

Almost surely, 2^106892889 is an apocalyptic number.

It is an amenable number.

106892889 is a deficient number, since it is larger than the sum of its proper divisors (48304839).

106892889 is a wasteful number, since it uses less digits than its factorization.

106892889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1625 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 51.

The square root of 106892889 is about 10338.9017308416. The cubic root of 106892889 is about 474.5874741528.

The spelling of 106892889 in words is "one hundred six million, eight hundred ninety-two thousand, eight hundred eighty-nine".