100093819 has 12 divisors (see below), whose sum is σ = 120452400. Its totient is φ = 82835088.

The previous prime is 100093813. The next prime is 100093831. The reversal of 100093819 is 918390001.

It is not a de Polignac number, because 100093819 - 2³ = 100093811 is a prime.

It is a super-2 number, since 2×100093819² = 20037545204009522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100093811) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33799 + ... + 36640.

It is an arithmetic number, because the mean of its divisors is an integer number (10037700).

Almost surely, 2^100093819 is an apocalyptic number.

100093819 is a deficient number, since it is larger than the sum of its proper divisors (20358581).

100093819 is an equidigital number, since it uses as much as digits as its factorization.

100093819 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70482 (or 70475 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 31.

The square root of 100093819 is about 10004.6898502652. The cubic root of 100093819 is about 464.3039943978.

The spelling of 100093819 in words is "one hundred million, ninety-three thousand, eight hundred nineteen".