107051391720 has 480 divisors, whose sum is σ = 450761711400. Its totient is φ = 22586231808.

The previous prime is 107051391647. The next prime is 107051391739. The reversal of 107051391720 is 27193150701.

107051391720 is a `hidden beast` number, since 1 + 0 + 70 + 513 + 9 + 1 + 72 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 44117641764 + 62933749956 = 210042^2 + 250866^2 .

It is a super-2 number, since 2×107051391720² (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 an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2037946 + ... + 2089814.

Almost surely, 2^107051391720 is an apocalyptic number.

107051391720 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 107051391720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225380855700).

107051391720 is an abundant number, since it is smaller than the sum of its proper divisors (343710319680).

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

107051391720 is a wasteful number, since it uses less digits than its factorization.

107051391720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51919 (or 51899 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 36.

The spelling of 107051391720 in words is "one hundred seven billion, fifty-one million, three hundred ninety-one thousand, seven hundred twenty".