107246880 has 288 divisors, whose sum is σ = 418554864. Its totient is φ = 24772608.

The previous prime is 107246879. The next prime is 107246891. The reversal of 107246880 is 88642701.

It can be written as a sum of positive squares in 8 ways, for example, as 29030544 + 78216336 = 5388^2 + 8844^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 318072 + ... + 318408.

Almost surely, 2^107246880 is an apocalyptic number.

107246880 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 107246880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209277432).

107246880 is an abundant number, since it is smaller than the sum of its proper divisors (311307984).

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

107246880 is a wasteful number, since it uses less digits than its factorization.

107246880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 107246880 is about 10356.0069524890. The cubic root of 107246880 is about 475.1107848705.

The spelling of 107246880 in words is "one hundred seven million, two hundred forty-six thousand, eight hundred eighty".