106399160 has 32 divisors (see below), whose sum is σ = 273598560. Its totient is φ = 36479616.

The previous prime is 106399129. The next prime is 106399169. The reversal of 106399160 is 61993601.

It is a super-2 number, since 2×106399160² = 22641562497411200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 106399160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106399169) 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, 189719 + ... + 190278.

It is an arithmetic number, because the mean of its divisors is an integer number (8549955).

Almost surely, 2^106399160 is an apocalyptic number.

106399160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106399160 is an abundant number, since it is smaller than the sum of its proper divisors (167199400).

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

106399160 is a wasteful number, since it uses less digits than its factorization.

106399160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380015 (or 380011 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 35.

The square root of 106399160 is about 10314.9968492482. The cubic root of 106399160 is about 473.8556534362.

The spelling of 106399160 in words is "one hundred six million, three hundred ninety-nine thousand, one hundred sixty".