100959975 has 36 divisors (see below), whose sum is σ = 181379016. Its totient is φ = 53682240.

The previous prime is 100959973. The next prime is 100959979. The reversal of 100959975 is 579959001.

It is not a de Polignac number, because 100959975 - 2¹ = 100959973 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 100959975.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100959973) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 126277 + ... + 127073.

It is an arithmetic number, because the mean of its divisors is an integer number (5038306).

Almost surely, 2^100959975 is an apocalyptic number.

100959975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

100959975 is a deficient number, since it is larger than the sum of its proper divisors (80419041).

100959975 is a wasteful number, since it uses less digits than its factorization.

100959975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 127575, while the sum is 45.

The square root of 100959975 is about 10047.8841056214. The cubic root of 100959975 is about 465.6394255549.

The spelling of 100959975 in words is "one hundred million, nine hundred fifty-nine thousand, nine hundred seventy-five".