106789160 has 16 divisors (see below), whose sum is σ = 240275700. Its totient is φ = 42715648.

The previous prime is 106789097. The next prime is 106789187. The reversal of 106789160 is 61987601.

It can be written as a sum of positive squares in 2 ways, for example, as 103754596 + 3034564 = 10186^2 + 1742^2 .

It is a super-2 number, since 2×106789160² = 22807849387011200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1334825 + ... + 1334904.

Almost surely, 2^106789160 is an apocalyptic number.

106789160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106789160 is an abundant number, since it is smaller than the sum of its proper divisors (133486540).

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

106789160 is a wasteful number, since it uses less digits than its factorization.

106789160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2669740 (or 2669736 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 38.

The square root of 106789160 is about 10333.8840713451. The cubic root of 106789160 is about 474.4339110332.

The spelling of 106789160 in words is "one hundred six million, seven hundred eighty-nine thousand, one hundred sixty".