100845690 has 32 divisors (see below), whose sum is σ = 264033216. Its totient is φ = 24447360.

The previous prime is 100845671. The next prime is 100845709. The reversal of 100845690 is 96548001.

It is an interprime number because it is at equal distance from previous prime (100845671) and next prime (100845709).

It is a super-2 number, since 2×100845690² = 20339706383152200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 152467 + ... + 153126.

It is an arithmetic number, because the mean of its divisors is an integer number (8251038).

Almost surely, 2^100845690 is an apocalyptic number.

100845690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100845690 is an abundant number, since it is smaller than the sum of its proper divisors (163187526).

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

100845690 is a wasteful number, since it uses less digits than its factorization.

100845690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305614.

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 100845690 is about 10042.1954770857. The cubic root of 100845690 is about 465.4636605414.

The spelling of 100845690 in words is "one hundred million, eight hundred forty-five thousand, six hundred ninety".