10109085000 has 320 divisors, whose sum is σ = 36948172800. Its totient is φ = 2255904000.

The previous prime is 10109084933. The next prime is 10109085011. The reversal of 10109085000 is 58090101.

It is a super-3 number, since 3×10109085000³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4513881 + ... + 4516119.

It is an arithmetic number, because the mean of its divisors is an integer number (115463040).

Almost surely, 2^10109085000 is an apocalyptic number.

10109085000 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 10109085000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18474086400).

10109085000 is an abundant number, since it is smaller than the sum of its proper divisors (26839087800).

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

10109085000 is a wasteful number, since it uses less digits than its factorization.

10109085000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2318 (or 2299 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 24.

The spelling of 10109085000 in words is "ten billion, one hundred nine million, eighty-five thousand".