109961280 has 448 divisors, whose sum is σ = 460857600. Its totient is φ = 24330240.

The previous prime is 109961249. The next prime is 109961281. The reversal of 109961280 is 82169901.

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 (109961281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1235476 + ... + 1235564.

It is an arithmetic number, because the mean of its divisors is an integer number (1028700).

Almost surely, 2^109961280 is an apocalyptic number.

109961280 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 109961280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230428800).

109961280 is an abundant number, since it is smaller than the sum of its proper divisors (350896320).

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

109961280 is a wasteful number, since it uses less digits than its factorization.

109961280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 109961280 is about 10486.2424156606. The cubic root of 109961280 is about 479.0857597823.

The spelling of 109961280 in words is "one hundred nine million, nine hundred sixty-one thousand, two hundred eighty".