107040193120 has 192 divisors, whose sum is σ = 303329940480. Its totient is φ = 34899499008.

The previous prime is 107040193061. The next prime is 107040193153. The reversal of 107040193120 is 21391040701.

It is a super-2 number, since 2×107040193120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4444471 + ... + 4468489.

It is an arithmetic number, because the mean of its divisors is an integer number (1579843440).

Almost surely, 2^107040193120 is an apocalyptic number.

107040193120 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 107040193120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151664970240).

107040193120 is an abundant number, since it is smaller than the sum of its proper divisors (196289747360).

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

107040193120 is a wasteful number, since it uses less digits than its factorization.

107040193120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24237 (or 24229 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The spelling of 107040193120 in words is "one hundred seven billion, forty million, one hundred ninety-three thousand, one hundred twenty".