106704675 has 96 divisors (see below), whose sum is σ = 244508160. Its totient is φ = 44323200.

The previous prime is 106704671. The next prime is 106704679. The reversal of 106704675 is 576407601.

It is an interprime number because it is at equal distance from previous prime (106704671) and next prime (106704679).

It is not a de Polignac number, because 106704675 - 2² = 106704671 is a prime.

It is a super-2 number, since 2×106704675² = 22771775333711250, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106704671) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50949 + ... + 53001.

It is an arithmetic number, because the mean of its divisors is an integer number (2546960).

Almost surely, 2^106704675 is an apocalyptic number.

106704675 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106704675 is an abundant number, since it is smaller than the sum of its proper divisors (137803485).

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

106704675 is a wasteful number, since it uses less digits than its factorization.

106704675 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2090 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 106704675 is about 10329.7954965236. The cubic root of 106704675 is about 474.3087637370.

The spelling of 106704675 in words is "one hundred six million, seven hundred four thousand, six hundred seventy-five".