107193657340 has 144 divisors (see below), whose sum is σ = 288495424224. Its totient is φ = 33079872000.

The previous prime is 107193657281. The next prime is 107193657353. The reversal of 107193657340 is 43756391701.

It is a super-2 number, since 2×107193657340² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1039554 + ... + 1138006.

It is an arithmetic number, because the mean of its divisors is an integer number (2003440446).

Almost surely, 2^107193657340 is an apocalyptic number.

107193657340 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 107193657340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144247712112).

107193657340 is an abundant number, since it is smaller than the sum of its proper divisors (181301766884).

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

107193657340 is a wasteful number, since it uses less digits than its factorization.

107193657340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98588 (or 98579 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 46.

The spelling of 107193657340 in words is "one hundred seven billion, one hundred ninety-three million, six hundred fifty-seven thousand, three hundred forty".