107534840 has 64 divisors (see below), whose sum is σ = 280359360. Its totient is φ = 36357120.

The previous prime is 107534831. The next prime is 107534863. The reversal of 107534840 is 48435701.

It is a junction number, because it is equal to n+sod(n) for n = 107534797 and 107534806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17810 + ... + 23070.

It is an arithmetic number, because the mean of its divisors is an integer number (4380615).

Almost surely, 2^107534840 is an apocalyptic number.

107534840 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 107534840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140179680).

107534840 is an abundant number, since it is smaller than the sum of its proper divisors (172824520).

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

107534840 is a wasteful number, since it uses less digits than its factorization.

107534840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5352 (or 5348 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 107534840 is about 10369.9006745484. The cubic root of 107534840 is about 475.5356321496.

The spelling of 107534840 in words is "one hundred seven million, five hundred thirty-four thousand, eight hundred forty".