107079310800 has 1680 divisors, whose sum is σ = 508212472320. Its totient is φ = 20995200000.

The previous prime is 107079310769. The next prime is 107079310801. The reversal of 107079310800 is 8013970701.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×107079310800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107079310801) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 426610675 + ... + 426610925.

It is an arithmetic number, because the mean of its divisors is an integer number (302507424).

Almost surely, 2^107079310800 is an apocalyptic number.

107079310800 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 107079310800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254106236160).

107079310800 is an abundant number, since it is smaller than the sum of its proper divisors (401133161520).

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

107079310800 is a wasteful number, since it uses less digits than its factorization.

107079310800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The spelling of 107079310800 in words is "one hundred seven billion, seventy-nine million, three hundred ten thousand, eight hundred".