100912581 has 32 divisors (see below), whose sum is σ = 186393600. Its totient is φ = 52421040.

The previous prime is 100912573. The next prime is 100912601. The reversal of 100912581 is 185219001.

It is not a de Polignac number, because 100912581 - 2³ = 100912573 is a prime.

It is a super-2 number, since 2×100912581² = 20366698008163122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100912501) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 22191 + ... + 26348.

It is an arithmetic number, because the mean of its divisors is an integer number (5824800).

Almost surely, 2^100912581 is an apocalyptic number.

100912581 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100912581 is a deficient number, since it is larger than the sum of its proper divisors (85481019).

100912581 is a wasteful number, since it uses less digits than its factorization.

100912581 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48566 (or 48560 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 100912581 is about 10045.5254217985. The cubic root of 100912581 is about 465.5665518936.

The spelling of 100912581 in words is "one hundred million, nine hundred twelve thousand, five hundred eighty-one".