107645771520 has 324 divisors, whose sum is σ = 433252474200. Its totient is φ = 24604618752.

The previous prime is 107645771509. The next prime is 107645771567. The reversal of 107645771520 is 25177546701.

107645771520 is a `hidden beast` number, since 1 + 0 + 7 + 6 + 4 + 57 + 71 + 520 = 666.

It is a super-2 number, since 2×107645771520² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 469131 + ... + 659829.

Almost surely, 2^107645771520 is an apocalyptic number.

107645771520 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 107645771520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216626237100).

107645771520 is an abundant number, since it is smaller than the sum of its proper divisors (325606702680).

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

107645771520 is a wasteful number, since it uses less digits than its factorization.

107645771520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190740 (or 190716 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 45.

The spelling of 107645771520 in words is "one hundred seven billion, six hundred forty-five million, seven hundred seventy-one thousand, five hundred twenty".