109780107840 has 448 divisors, whose sum is σ = 431465126400. Its totient is φ = 26090201088.

The previous prime is 109780107821. The next prime is 109780107859. The reversal of 109780107840 is 48701087901.

It is an interprime number because it is at equal distance from previous prime (109780107821) and next prime (109780107859).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3240429 + ... + 3274131.

It is an arithmetic number, because the mean of its divisors is an integer number (963091800).

Almost surely, 2^109780107840 is an apocalyptic number.

109780107840 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 109780107840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215732563200).

109780107840 is an abundant number, since it is smaller than the sum of its proper divisors (321685018560).

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

109780107840 is a wasteful number, since it uses less digits than its factorization.

109780107840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33771 (or 33755 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The spelling of 109780107840 in words is "one hundred nine billion, seven hundred eighty million, one hundred seven thousand, eight hundred forty".