107350880 has 192 divisors, whose sum is σ = 319552128. Its totient is φ = 33177600.

The previous prime is 107350879. The next prime is 107350891. The reversal of 107350880 is 88053701.

107350880 is nontrivially palindromic in base 3.

It is a super-2 number, since 2×107350880² = 23048422873548800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1062830 + ... + 1062930.

It is an arithmetic number, because the mean of its divisors is an integer number (1664334).

Almost surely, 2^107350880 is an apocalyptic number.

107350880 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 107350880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159776064).

107350880 is an abundant number, since it is smaller than the sum of its proper divisors (212201248).

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

107350880 is a wasteful number, since it uses less digits than its factorization.

107350880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The square root of 107350880 is about 10361.0269761255. The cubic root of 107350880 is about 475.2643108856.

The spelling of 107350880 in words is "one hundred seven million, three hundred fifty thousand, eight hundred eighty".