107053618320 has 720 divisors, whose sum is σ = 416510752320. Its totient is φ = 24408115200.

The previous prime is 107053618277. The next prime is 107053618391. The reversal of 107053618320 is 23816350701.

107053618320 is a `hidden beast` number, since 1 + 0 + 7 + 0 + 5 + 3 + 618 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×107053618320² (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 an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 507363015 + ... + 507363225.

It is an arithmetic number, because the mean of its divisors is an integer number (578487156).

Almost surely, 2^107053618320 is an apocalyptic number.

107053618320 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 107053618320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208255376160).

107053618320 is an abundant number, since it is smaller than the sum of its proper divisors (309457134000).

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

107053618320 is a wasteful number, since it uses less digits than its factorization.

107053618320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

It can be divided in two parts, 10705 and 3618320, that added together give a square (3629025 = 1905²).

The spelling of 107053618320 in words is "one hundred seven billion, fifty-three million, six hundred eighteen thousand, three hundred twenty".