106389160 has 32 divisors (see below), whose sum is σ = 240093000. Its totient is φ = 42428160.

The previous prime is 106389149. The next prime is 106389167. The reversal of 106389160 is 61983601.

It can be written as a sum of positive squares in 4 ways, for example, as 104816644 + 1572516 = 10238^2 + 1254^2 .

It is a super-2 number, since 2×106389160² = 22637306731011200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106389167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10150 + ... + 17770.

Almost surely, 2^106389160 is an apocalyptic number.

106389160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106389160 is an abundant number, since it is smaller than the sum of its proper divisors (133703840).

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

106389160 is a wasteful number, since it uses less digits than its factorization.

106389160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7981 (or 7977 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 106389160 is about 10314.5121067358. The cubic root of 106389160 is about 473.8408077520.

The spelling of 106389160 in words is "one hundred six million, three hundred eighty-nine thousand, one hundred sixty".