106015500675 has 96 divisors (see below), whose sum is σ = 222689318400. Its totient is φ = 48439658880.

The previous prime is 106015500671. The next prime is 106015500713. The reversal of 106015500675 is 576005510601.

106015500675 is a `hidden beast` number, since 10 + 60 + 15 + 500 + 6 + 75 = 666.

It is not a de Polignac number, because 106015500675 - 2² = 106015500671 is a prime.

It is a super-2 number, since 2×106015500675² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106015500671) 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, 11992357 + ... + 12001193.

It is an arithmetic number, because the mean of its divisors is an integer number (2319680400).

Almost surely, 2^106015500675 is an apocalyptic number.

106015500675 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106015500675 is an abundant number, since it is smaller than the sum of its proper divisors (116673817725).

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

106015500675 is a wasteful number, since it uses less digits than its factorization.

106015500675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11402 (or 11391 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The spelling of 106015500675 in words is "one hundred six billion, fifteen million, five hundred thousand, six hundred seventy-five".