101868075 has 36 divisors (see below), whose sum is σ = 186717960. Its totient is φ = 53061120.

The previous prime is 101868061. The next prime is 101868079. The reversal of 101868075 is 570868101.

It is not a de Polignac number, because 101868075 - 2⁷ = 101867947 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101868079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4411 + ... + 14939.

It is an arithmetic number, because the mean of its divisors is an integer number (5186610).

Almost surely, 2^101868075 is an apocalyptic number.

101868075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

101868075 is a deficient number, since it is larger than the sum of its proper divisors (84849885).

101868075 is a wasteful number, since it uses less digits than its factorization.

101868075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10588 (or 10580 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 101868075 is about 10092.9715644106. The cubic root of 101868075 is about 467.0313490106.

The spelling of 101868075 in words is "one hundred one million, eight hundred sixty-eight thousand, seventy-five".