106856589 has 16 divisors (see below), whose sum is σ = 171399680. Its totient is φ = 57846960.

The previous prime is 106856539. The next prime is 106856593. The reversal of 106856589 is 985658601.

It is not a de Polignac number, because 106856589 - 2¹⁹ = 106332301 is a prime.

It is a super-2 number, since 2×106856589² = 22836661225429842, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106856539) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133507 + ... + 134304.

It is an arithmetic number, because the mean of its divisors is an integer number (10712480).

Almost surely, 2^106856589 is an apocalyptic number.

106856589 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

106856589 is a deficient number, since it is larger than the sum of its proper divisors (64543091).

106856589 is a wasteful number, since it uses less digits than its factorization.

106856589 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267840.

The product of its (nonzero) digits is 518400, while the sum is 48.

The square root of 106856589 is about 10337.1460761663. The cubic root of 106856589 is about 474.5337459895.

The spelling of 106856589 in words is "one hundred six million, eight hundred fifty-six thousand, five hundred eighty-nine".