107355456 has 224 divisors, whose sum is σ = 349910400. Its totient is φ = 32472576.

The previous prime is 107355439. The next prime is 107355497. The reversal of 107355456 is 654553701.

107355456 is a `hidden beast` number, since 107 + 3 + 5 + 545 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 107355456.

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, 1819555 + ... + 1819613.

It is an arithmetic number, because the mean of its divisors is an integer number (1562100).

Almost surely, 2^107355456 is an apocalyptic number.

107355456 is a gapful number since it is divisible by the number (16) 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 107355456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174955200).

107355456 is an abundant number, since it is smaller than the sum of its proper divisors (242554944).

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

107355456 is an frugal number, since it uses more digits than its factorization.

107355456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 107355456 is about 10361.2478013027. The cubic root of 107355456 is about 475.2710637524.

The spelling of 107355456 in words is "one hundred seven million, three hundred fifty-five thousand, four hundred fifty-six".