107963040 has 96 divisors (see below), whose sum is σ = 349332480. Its totient is φ = 28007424.

The previous prime is 107963033. The next prime is 107963069. The reversal of 107963040 is 40369701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 107962989 and 107963007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14721 + ... + 20799.

It is an arithmetic number, because the mean of its divisors is an integer number (3638880).

Almost surely, 2^107963040 is an apocalyptic number.

107963040 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 107963040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174666240).

107963040 is an abundant number, since it is smaller than the sum of its proper divisors (241369440).

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

107963040 is a wasteful number, since it uses less digits than its factorization.

107963040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6134 (or 6126 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 107963040 is about 10390.5264544199. The cubic root of 107963040 is about 476.1659850007.

The spelling of 107963040 in words is "one hundred seven million, nine hundred sixty-three thousand, forty".