100948575 has 72 divisors (see below), whose sum is σ = 209184528. Its totient is φ = 42577920.

The previous prime is 100948559. The next prime is 100948607. The reversal of 100948575 is 575849001.

It is not a de Polignac number, because 100948575 - 2⁴ = 100948559 is a prime.

It is a super-2 number, since 2×100948575² = 20381229589061250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 46719 + ... + 48831.

Almost surely, 2^100948575 is an apocalyptic number.

100948575 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

100948575 is an abundant number, since it is smaller than the sum of its proper divisors (108235953).

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

100948575 is a wasteful number, since it uses less digits than its factorization.

100948575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2153 (or 2141 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 39.

The square root of 100948575 is about 10047.3168059935. The cubic root of 100948575 is about 465.6218988428.

The spelling of 100948575 in words is "one hundred million, nine hundred forty-eight thousand, five hundred seventy-five".