115878968100 has 243 divisors, whose sum is σ = 422777602611. Its totient is φ = 26470281600.

The previous prime is 115878968087. The next prime is 115878968129. The reversal of 115878968100 is 1869878511.

It is a happy number.

The square root of 115878968100 is 340410.

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 2304576036 + 113574392064 = 48006^2 + 337008^2 .

It is a super-4 number, since 4×115878968100⁴ (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 71485290 + ... + 71486910.

Almost surely, 2^115878968100 is an apocalyptic number.

115878968100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

115878968100 is the 340410-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115878968100

115878968100 is an abundant number, since it is smaller than the sum of its proper divisors (306898634511).

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

115878968100 is a wasteful number, since it uses less digits than its factorization.

115878968100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3276 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 54.

The spelling of 115878968100 in words is "one hundred fifteen billion, eight hundred seventy-eight million, nine hundred sixty-eight thousand, one hundred".