109902127104 has 784 divisors, whose sum is σ = 412568501760. Its totient is φ = 28426567680.

The previous prime is 109902127099. The next prime is 109902127123. The reversal of 109902127104 is 401721209901.

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 polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 459841417 + ... + 459841655.

Almost surely, 2^109902127104 is an apocalyptic number.

109902127104 is a gapful number since it is divisible by the number (14) 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 109902127104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206284250880).

109902127104 is an abundant number, since it is smaller than the sum of its proper divisors (302666374656).

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

109902127104 is an frugal number, since it uses more digits than its factorization.

109902127104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 109902127104 in words is "one hundred nine billion, nine hundred two million, one hundred twenty-seven thousand, one hundred four".