107143310113920 has 2304 divisors, whose sum is σ = 423387425260800. Its totient is φ = 25598229479424.

The previous prime is 107143310113837. The next prime is 107143310113921. The reversal of 107143310113920 is 29311013341701.

107143310113920 is a `hidden beast` number, since 1 + 0 + 7 + 143 + 310 + 113 + 92 + 0 = 666.

It is a super-2 number, since 2×107143310113920² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (107143310113921) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 407389011709 + ... + 407389011971.

It is an arithmetic number, because the mean of its divisors is an integer number (183761903325).

Almost surely, 2^{107143310113920} is an apocalyptic number.

107143310113920 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 107143310113920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211693712630400).

107143310113920 is an abundant number, since it is smaller than the sum of its proper divisors (316244115146880).

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

107143310113920 is a wasteful number, since it uses less digits than its factorization.

107143310113920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 107143310113920 in words is "one hundred seven trillion, one hundred forty-three billion, three hundred ten million, one hundred thirteen thousand, nine hundred twenty".