106985592 has 96 divisors (see below), whose sum is σ = 335462400. Its totient is φ = 30169152.

The previous prime is 106985551. The next prime is 106985647. The reversal of 106985592 is 295589601.

106985592 is a `hidden beast` number, since 1 + 0 + 6 + 98 + 559 + 2 = 666.

It is a super-2 number, since 2×106985592² = 22891833791180928, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38473 + ... + 41159.

It is an arithmetic number, because the mean of its divisors is an integer number (3494400).

Almost surely, 2^106985592 is an apocalyptic number.

106985592 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 106985592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167731200).

106985592 is an abundant number, since it is smaller than the sum of its proper divisors (228476808).

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

106985592 is a wasteful number, since it uses less digits than its factorization.

106985592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2785 (or 2778 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The square root of 106985592 is about 10343.3839723758. The cubic root of 106985592 is about 474.7246300500.

It can be divided in two parts, 10698 and 5592, that added together give a triangular number (16290 = T₁₈₀).

The spelling of 106985592 in words is "one hundred six million, nine hundred eighty-five thousand, five hundred ninety-two".