100115105455200 has 288 divisors, whose sum is σ = 363767075667072. Its totient is φ = 23705902080000.

The previous prime is 100115105455139. The next prime is 100115105455201. The reversal of 100115105455200 is 2554501511001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100115105455201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42960601 + ... + 45231000.

It is an arithmetic number, because the mean of its divisors is an integer number (1263080123844).

Almost surely, 2^{100115105455200} is an apocalyptic number.

100115105455200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100115105455200 is an abundant number, since it is smaller than the sum of its proper divisors (263651970211872).

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

100115105455200 is a wasteful number, since it uses less digits than its factorization.

100115105455200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88191678 (or 88191665 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 30.

Adding to 100115105455200 its reverse (2554501511001), we get a palindrome (102669606966201).

The spelling of 100115105455200 in words is "one hundred trillion, one hundred fifteen billion, one hundred five million, four hundred fifty-five thousand, two hundred".