107225539344 has 640 divisors, whose sum is σ = 394534748160. Its totient is φ = 27078105600.

The previous prime is 107225539321. The next prime is 107225539367. The reversal of 107225539344 is 443935522701.

It is a happy number.

107225539344 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 2 + 553 + 93 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (107225539321) and next prime (107225539367).

It is a super-2 number, since 2×107225539344² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 107225539344.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 196024479 + ... + 196025025.

It is an arithmetic number, because the mean of its divisors is an integer number (616460544).

Almost surely, 2^107225539344 is an apocalyptic number.

107225539344 is a gapful number since it is divisible by the number (14) 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 107225539344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197267374080).

107225539344 is an abundant number, since it is smaller than the sum of its proper divisors (287309208816).

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

107225539344 is a wasteful number, since it uses less digits than its factorization.

107225539344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 107225539344 in words is "one hundred seven billion, two hundred twenty-five million, five hundred thirty-nine thousand, three hundred forty-four".