107715133440 has 384 divisors, whose sum is σ = 395463879720. Its totient is φ = 27028094976.

The previous prime is 107715133301. The next prime is 107715133447. The reversal of 107715133440 is 44331517701.

It is a happy number.

107715133440 is a `hidden beast` number, since 1 + 0 + 7 + 71 + 513 + 34 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 98425257984 + 9289875456 = 313728^2 + 96384^2 .

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 107715133395 and 107715133404.

It is not an unprimeable number, because it can be changed into a prime (107715133447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25065372 + ... + 25069668.

Almost surely, 2^107715133440 is an apocalyptic number.

107715133440 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 107715133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197731939860).

107715133440 is an abundant number, since it is smaller than the sum of its proper divisors (287748746280).

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

107715133440 is an equidigital number, since it uses as much as digits as its factorization.

107715133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4355 (or 4324 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 107715133440 in words is "one hundred seven billion, seven hundred fifteen million, one hundred thirty-three thousand, four hundred forty".