115655445100 has 144 divisors (see below), whose sum is σ = 272898533376. Its totient is φ = 42291360000.

The previous prime is 115655445071. The next prime is 115655445119. The reversal of 115655445100 is 1544556511.

It is a super-2 number, since 2×115655445100² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 115655445100.

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 47 ways as a sum of consecutive naturals, for example, 84604617 + ... + 84605983.

It is an arithmetic number, because the mean of its divisors is an integer number (1895128704).

Almost surely, 2^115655445100 is an apocalyptic number.

115655445100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115655445100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136449266688).

115655445100 is an abundant number, since it is smaller than the sum of its proper divisors (157243088276).

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

115655445100 is a wasteful number, since it uses less digits than its factorization.

115655445100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1976 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 37.

The spelling of 115655445100 in words is "one hundred fifteen billion, six hundred fifty-five million, four hundred forty-five thousand, one hundred".