106375608 has 48 divisors (see below), whose sum is σ = 292172400. Its totient is φ = 34957440.

The previous prime is 106375603. The next prime is 106375609. The reversal of 106375608 is 806573601.

106375608 is a `hidden beast` number, since 10 + 6 + 37 + 5 + 608 = 666.

It is a super-2 number, since 2×106375608² = 22631539954739328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106375603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5293 + ... + 15516.

It is an arithmetic number, because the mean of its divisors is an integer number (6086925).

Almost surely, 2^106375608 is an apocalyptic number.

106375608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106375608 is an abundant number, since it is smaller than the sum of its proper divisors (185796792).

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

106375608 is a wasteful number, since it uses less digits than its factorization.

106375608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20892 (or 20885 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 106375608 is about 10313.8551473249. The cubic root of 106375608 is about 473.8206873961.

The spelling of 106375608 in words is "one hundred six million, three hundred seventy-five thousand, six hundred eight".