107021765366544 has 320 divisors, whose sum is σ = 358255287336960. Its totient is φ = 26814972602880.

The previous prime is 107021765366543. The next prime is 107021765366569. The reversal of 107021765366544 is 445663567120701.

It is a super-2 number, since 2×107021765366544² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (107021765366543) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7204212 + ... + 16307795.

It is an arithmetic number, because the mean of its divisors is an integer number (1119547772928).

Almost surely, 2^{107021765366544} is an apocalyptic number.

107021765366544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

107021765366544 is an abundant number, since it is smaller than the sum of its proper divisors (251233521970416).

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

107021765366544 is a wasteful number, since it uses less digits than its factorization.

107021765366544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23512098 (or 23512092 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 57.

The spelling of 107021765366544 in words is "one hundred seven trillion, twenty-one billion, seven hundred sixty-five million, three hundred sixty-six thousand, five hundred forty-four".