100097819 has 16 divisors (see below), whose sum is σ = 108904320. Its totient is φ = 91653120.

The previous prime is 100097801. The next prime is 100097831. The reversal of 100097819 is 918790001.

It is a de Polignac number, because none of the positive numbers 2^k-100097819 is a prime.

It is a super-2 number, since 2×100097819² = 20039146737113522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100097849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97529 + ... + 98549.

It is an arithmetic number, because the mean of its divisors is an integer number (6806520).

Almost surely, 2^100097819 is an apocalyptic number.

100097819 is a deficient number, since it is larger than the sum of its proper divisors (8806501).

100097819 is a wasteful number, since it uses less digits than its factorization.

100097819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190.

The product of its (nonzero) digits is 4536, while the sum is 35.

The square root of 100097819 is about 10004.8897545150. The cubic root of 100097819 is about 464.3101792327.

The spelling of 100097819 in words is "one hundred million, ninety-seven thousand, eight hundred nineteen".