107255802240 has 512 divisors, whose sum is σ = 390443760000. Its totient is φ = 27816099840.

The previous prime is 107255802239. The next prime is 107255802281. The reversal of 107255802240 is 42208552701.

It is a happy number.

107255802240 is a `hidden beast` number, since 1 + 0 + 72 + 5 + 580 + 2 + 2 + 4 + 0 = 666.

It is a super-2 number, since 2×107255802240² (a number of 23 digits) contains 22 as substring.

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 = 107255802195 and 107255802204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 102245236 + ... + 102246284.

Almost surely, 2^107255802240 is an apocalyptic number.

107255802240 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 107255802240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195221880000).

107255802240 is an abundant number, since it is smaller than the sum of its proper divisors (283187957760).

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

107255802240 is a wasteful number, since it uses less digits than its factorization.

107255802240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 107255802240 in words is "one hundred seven billion, two hundred fifty-five million, eight hundred two thousand, two hundred forty".