100506075 has 24 divisors (see below), whose sum is σ = 166465536. Its totient is φ = 53508000.

The previous prime is 100506071. The next prime is 100506089. The reversal of 100506075 is 570605001.

It is not a de Polignac number, because 100506075 - 2² = 100506071 is a prime.

It is a super-2 number, since 2×100506075² = 20202942223811250, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100506071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67590 + ... + 69060.

It is an arithmetic number, because the mean of its divisors is an integer number (6936064).

Almost surely, 2^100506075 is an apocalyptic number.

100506075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

100506075 is a deficient number, since it is larger than the sum of its proper divisors (65959461).

100506075 is a wasteful number, since it uses less digits than its factorization.

100506075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2395 (or 2390 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 24.

The square root of 100506075 is about 10025.2718167639. The cubic root of 100506075 is about 464.9405635674.

The spelling of 100506075 in words is "one hundred million, five hundred six thousand, seventy-five".