106375368 has 64 divisors (see below), whose sum is σ = 302745600. Its totient is φ = 30831680.

The previous prime is 106375363. The next prime is 106375369. The reversal of 106375368 is 863573601.

It is a super-2 number, since 2×106375368² = 22631437834270848, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (106375363) 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, 2688 + ... + 14831.

It is an arithmetic number, because the mean of its divisors is an integer number (4730400).

Almost surely, 2^106375368 is an apocalyptic number.

It is an amenable number.

106375368 is an abundant number, since it is smaller than the sum of its proper divisors (196370232).

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

106375368 is a wasteful number, since it uses less digits than its factorization.

106375368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17562 (or 17558 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 106375368 is about 10313.8435124836. The cubic root of 106375368 is about 473.8203310579.

The spelling of 106375368 in words is "one hundred six million, three hundred seventy-five thousand, three hundred sixty-eight".