102819964 has 48 divisors (see below), whose sum is σ = 205470720. Its totient is φ = 44674560.

The previous prime is 102819931. The next prime is 102819967. The reversal of 102819964 is 469918201.

It is a super-2 number, since 2×102819964² = 21143889993922592, which contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102819967) 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, 60997 + ... + 62659.

It is an arithmetic number, because the mean of its divisors is an integer number (4280640).

Almost surely, 2^102819964 is an apocalyptic number.

It is an amenable number.

102819964 is a deficient number, since it is larger than the sum of its proper divisors (102650756).

102819964 is a wasteful number, since it uses less digits than its factorization.

102819964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1750 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 40.

The square root of 102819964 is about 10140.0179487021. The cubic root of 102819964 is about 468.4815398130.

The spelling of 102819964 in words is "one hundred two million, eight hundred nineteen thousand, nine hundred sixty-four".