111007680 has 112 divisors (see below), whose sum is σ = 402823680. Its totient is φ = 25371648.

The previous prime is 111007667. The next prime is 111007681. The reversal of 111007680 is 86700111.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a self number, because there is not a number n which added to its sum of digits gives 111007680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111007681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1540 + ... + 14979.

It is an arithmetic number, because the mean of its divisors is an integer number (3596640).

Almost surely, 2^111007680 is an apocalyptic number.

111007680 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 111007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201411840).

111007680 is an abundant number, since it is smaller than the sum of its proper divisors (291816000).

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

111007680 is a wasteful number, since it uses less digits than its factorization.

111007680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16546 (or 16536 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 24.

The square root of 111007680 is about 10536.0182232189. The cubic root of 111007680 is about 480.6006369821.

Adding to 111007680 its reverse (86700111), we get a palindrome (197707791).

The spelling of 111007680 in words is "one hundred eleven million, seven thousand, six hundred eighty".