108491270400 has 1080 divisors, whose sum is σ = 426410319104. Its totient is φ = 27172454400.

The previous prime is 108491270351. The next prime is 108491270413. The reversal of 108491270400 is 4072194801.

108491270400 is a `hidden beast` number, since 108 + 491 + 27 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 691027122 + ... + 691027278.

Almost surely, 2^108491270400 is an apocalyptic number.

108491270400 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 108491270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213205159552).

108491270400 is an abundant number, since it is smaller than the sum of its proper divisors (317919048704).

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

108491270400 is a wasteful number, since it uses less digits than its factorization.

108491270400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 108491270400 in words is "one hundred eight billion, four hundred ninety-one million, two hundred seventy thousand, four hundred".