100117819396 has 81 divisors (see below), whose sum is σ = 206821714239. Its totient is φ = 42283035648.

The previous prime is 100117819339. The next prime is 100117819427. The reversal of 100117819396 is 693918711001.

The square root of 100117819396 is 316414.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 13022004996 + 87095814400 = 114114^2 + 295120^2 .

It is a super-4 number, since 4×100117819396⁴ (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 429690096 + ... + 429690328.

Almost surely, 2^100117819396 is an apocalyptic number.

100117819396 is the 316414-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100117819396

100117819396 is an abundant number, since it is smaller than the sum of its proper divisors (106703894843).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100117819396 is an frugal number, since it uses more digits than its factorization.

100117819396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 46.

The spelling of 100117819396 in words is "one hundred billion, one hundred seventeen million, eight hundred nineteen thousand, three hundred ninety-six".