1107416880 has 160 divisors (see below), whose sum is σ = 3980459520. Its totient is φ = 282458880.

The previous prime is 1107416833. The next prime is 1107416887. The reversal of 1107416880 is 886147011.

It is a super-2 number, since 2×1107416880² = 2452744292217868800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1107416887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38535 + ... + 60825.

It is an arithmetic number, because the mean of its divisors is an integer number (24877872).

Almost surely, 2^1107416880 is an apocalyptic number.

1107416880 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 1107416880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1990229760).

1107416880 is an abundant number, since it is smaller than the sum of its proper divisors (2873042640).

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

1107416880 is a wasteful number, since it uses less digits than its factorization.

1107416880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22336 (or 22324 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 1107416880 is about 33277.8737301529. The cubic root of 1107416880 is about 1034.5950106329.

The spelling of 1107416880 in words is "one billion, one hundred seven million, four hundred sixteen thousand, eight hundred eighty".