107050371960 has 256 divisors, whose sum is σ = 369377648640. Its totient is φ = 24312752640.

The previous prime is 107050371947. The next prime is 107050372001. The reversal of 107050371960 is 69173050701.

It is a super-2 number, since 2×107050371960² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 147249117 + ... + 147249843.

It is an arithmetic number, because the mean of its divisors is an integer number (1442881440).

Almost surely, 2^107050371960 is an apocalyptic number.

107050371960 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 107050371960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184688824320).

107050371960 is an abundant number, since it is smaller than the sum of its proper divisors (262327276680).

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

107050371960 is a wasteful number, since it uses less digits than its factorization.

107050371960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1626 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 39.

The spelling of 107050371960 in words is "one hundred seven billion, fifty million, three hundred seventy-one thousand, nine hundred sixty".