106865592 has 64 divisors (see below), whose sum is σ = 274752000. Its totient is φ = 34621440.

The previous prime is 106865581. The next prime is 106865599. The reversal of 106865592 is 295568601.

It is a super-2 number, since 2×106865592² = 22840509507020928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106865599) 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, 237784 + ... + 238232.

It is an arithmetic number, because the mean of its divisors is an integer number (4293000).

Almost surely, 2^106865592 is an apocalyptic number.

106865592 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 106865592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137376000).

106865592 is an abundant number, since it is smaller than the sum of its proper divisors (167886408).

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

106865592 is a wasteful number, since it uses less digits than its factorization.

106865592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The square root of 106865592 is about 10337.5815353496. The cubic root of 106865592 is about 474.5470725966.

The spelling of 106865592 in words is "one hundred six million, eight hundred sixty-five thousand, five hundred ninety-two".