109100872800 has 864 divisors, whose sum is σ = 439160641920. Its totient is φ = 25314508800.

The previous prime is 109100872763. The next prime is 109100872813. The reversal of 109100872800 is 8278001901.

It is a super-3 number, since 3×109100872800³ (a number of 34 digits) contains 333 as substring.

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 143 ways as a sum of consecutive naturals, for example, 100000255 + ... + 100001345.

It is an arithmetic number, because the mean of its divisors is an integer number (508287780).

Almost surely, 2^109100872800 is an apocalyptic number.

109100872800 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 109100872800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219580320960).

109100872800 is an abundant number, since it is smaller than the sum of its proper divisors (330059769120).

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

109100872800 is a wasteful number, since it uses less digits than its factorization.

109100872800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 109100872800 in words is "one hundred nine billion, one hundred million, eight hundred seventy-two thousand, eight hundred".