115629542100 has 108 divisors (see below), whose sum is σ = 367539288480. Its totient is φ = 30400238400.

The previous prime is 115629542047. The next prime is 115629542123. The reversal of 115629542100 is 1245926511.

115629542100 is a `hidden beast` number, since 1 + 1 + 5 + 6 + 2 + 9 + 542 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 840870 + ... + 968669.

It is an arithmetic number, because the mean of its divisors is an integer number (3403141560).

Almost surely, 2^115629542100 is an apocalyptic number.

115629542100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

115629542100 is an abundant number, since it is smaller than the sum of its proper divisors (251909746380).

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

115629542100 is a wasteful number, since it uses less digits than its factorization.

115629542100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1809630 (or 1809620 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 115629542100 in words is "one hundred fifteen billion, six hundred twenty-nine million, five hundred forty-two thousand, one hundred".