109830262080 has 1344 divisors, whose sum is σ = 470738386944. Its totient is φ = 21417984000.

The previous prime is 109830261997. The next prime is 109830262127. The reversal of 109830262080 is 80262038901.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×109830262080² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 657666157 + ... + 657666323.

It is an arithmetic number, because the mean of its divisors is an integer number (350251776).

Almost surely, 2^109830262080 is an apocalyptic number.

109830262080 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 109830262080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235369193472).

109830262080 is an abundant number, since it is smaller than the sum of its proper divisors (360908124864).

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

109830262080 is a wasteful number, since it uses less digits than its factorization.

109830262080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 109830262080 in words is "one hundred nine billion, eight hundred thirty million, two hundred sixty-two thousand, eighty".