106162320 has 80 divisors (see below), whose sum is σ = 359030592. Its totient is φ = 25735680.

The previous prime is 106162289. The next prime is 106162327. The reversal of 106162320 is 23261601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×106162320² = 22540876375564800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106162327) 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, 17467 + ... + 22746.

Almost surely, 2^106162320 is an apocalyptic number.

106162320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106162320 is an abundant number, since it is smaller than the sum of its proper divisors (252868272).

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

106162320 is a wasteful number, since it uses less digits than its factorization.

106162320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40240 (or 40234 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 106162320 is about 10303.5100815208. The cubic root of 106162320 is about 473.5037980655.

The spelling of 106162320 in words is "one hundred six million, one hundred sixty-two thousand, three hundred twenty".