109388102400 has 648 divisors, whose sum is σ = 416752378224. Its totient is φ = 28366848000.

The previous prime is 109388102371. The next prime is 109388102479. The reversal of 109388102400 is 4201883901.

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-5 number, since 5×109388102400⁵ (a number of 56 digits) contains 55555 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 57541450 + ... + 57543350.

Almost surely, 2^109388102400 is an apocalyptic number.

109388102400 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 109388102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208376189112).

109388102400 is an abundant number, since it is smaller than the sum of its proper divisors (307364275824).

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

109388102400 is an equidigital number, since it uses as much as digits as its factorization.

109388102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1979 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 109388102400 in words is "one hundred nine billion, three hundred eighty-eight million, one hundred two thousand, four hundred".