106756875 has 30 divisors (see below), whose sum is σ = 192703940. Its totient is φ = 56934000.

The previous prime is 106756847. The next prime is 106756883. The reversal of 106756875 is 578657601.

106756875 is a `hidden beast` number, since 10 + 6 + 7 + 568 + 75 = 666.

It is not a de Polignac number, because 106756875 - 2⁵ = 106756843 is a prime.

It is a super-2 number, since 2×106756875² = 22794060719531250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 106756875.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 3865 + ... + 15114.

Almost surely, 2^106756875 is an apocalyptic number.

106756875 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106756875 is a deficient number, since it is larger than the sum of its proper divisors (85947065).

106756875 is an equidigital number, since it uses as much as digits as its factorization.

106756875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19005 (or 18987 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 106756875 is about 10332.3218590983. The cubic root of 106756875 is about 474.3860951854.

The spelling of 106756875 in words is "one hundred six million, seven hundred fifty-six thousand, eight hundred seventy-five".