107771368320 has 2560 divisors, whose sum is σ = 533174400000. Its totient is φ = 20483850240.

The previous prime is 107771368303. The next prime is 107771368363. The reversal of 107771368320 is 23863177701.

It is a super-2 number, since 2×107771368320² (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 polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3716254066 + ... + 3716254094.

It is an arithmetic number, because the mean of its divisors is an integer number (208271250).

Almost surely, 2^107771368320 is an apocalyptic number.

107771368320 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 107771368320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266587200000).

107771368320 is an abundant number, since it is smaller than the sum of its proper divisors (425403031680).

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

107771368320 is a wasteful number, since it uses less digits than its factorization.

107771368320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 107771368320 in words is "one hundred seven billion, seven hundred seventy-one million, three hundred sixty-eight thousand, three hundred twenty".