100819518825 has 12 divisors (see below), whose sum is σ = 166688271248. Its totient is φ = 53770410000.

The previous prime is 100819518823. The next prime is 100819518841. The reversal of 100819518825 is 528815918001.

It is not a de Polignac number, because 100819518825 - 2¹ = 100819518823 is a prime.

It is a super-3 number, since 3×100819518825³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100819518823) 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, 672130051 + ... + 672130200.

Almost surely, 2^100819518825 is an apocalyptic number.

100819518825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100819518825 is a deficient number, since it is larger than the sum of its proper divisors (65868752423).

100819518825 is a wasteful number, since it uses less digits than its factorization.

100819518825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344260264 (or 1344260259 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 48.

The spelling of 100819518825 in words is "one hundred billion, eight hundred nineteen million, five hundred eighteen thousand, eight hundred twenty-five".