107073072960 has 224 divisors, whose sum is σ = 388863840000. Its totient is φ = 24452333568.

The previous prime is 107073072893. The next prime is 107073073027. The reversal of 107073072960 is 69270370701.

It is an interprime number because it is at equal distance from previous prime (107073072893) and next prime (107073073027).

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×107073072960² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 8386902 + ... + 8399658.

Almost surely, 2^107073072960 is an apocalyptic number.

107073072960 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 107073072960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194431920000).

107073072960 is an abundant number, since it is smaller than the sum of its proper divisors (281790767040).

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

107073072960 is a wasteful number, since it uses less digits than its factorization.

107073072960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14033 (or 14023 counting only the distinct ones).

The product of its (nonzero) digits is 111132, while the sum is 42.

The spelling of 107073072960 in words is "one hundred seven billion, seventy-three million, seventy-two thousand, nine hundred sixty".