100193819 has 16 divisors (see below), whose sum is σ = 114600960. Its totient is φ = 86708160.

The previous prime is 100193813. The next prime is 100193831. The reversal of 100193819 is 918391001.

It is a de Polignac number, because none of the positive numbers 2^k-100193819 is a prime.

It is a super-2 number, since 2×100193819² = 20077602731609522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100193813) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59639 + ... + 61295.

It is an arithmetic number, because the mean of its divisors is an integer number (7162560).

Almost surely, 2^100193819 is an apocalyptic number.

100193819 is a deficient number, since it is larger than the sum of its proper divisors (14407141).

100193819 is a wasteful number, since it uses less digits than its factorization.

100193819 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1930.

The product of its (nonzero) digits is 1944, while the sum is 32.

The square root of 100193819 is about 10009.6862588195. The cubic root of 100193819 is about 464.4585658661.

The spelling of 100193819 in words is "one hundred million, one hundred ninety-three thousand, eight hundred nineteen".