107213302675080 has 2560 divisors, whose sum is σ = 457834875125760. Its totient is φ = 21941965946880.

The previous prime is 107213302675057. The next prime is 107213302675133. The reversal of 107213302675080 is 80576203312701.

107213302675080 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 1 + 330 + 267 + 50 + 8 + 0 = 666.

It is a super-2 number, since 2×107213302675080² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 220150518597 + ... + 220150519083.

It is an arithmetic number, because the mean of its divisors is an integer number (178841748096).

Almost surely, 2^{107213302675080} is an apocalyptic number.

107213302675080 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 107213302675080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228917437562880).

107213302675080 is an abundant number, since it is smaller than the sum of its proper divisors (350621572450680).

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

107213302675080 is a wasteful number, since it uses less digits than its factorization.

107213302675080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

Adding to 107213302675080 its reverse (80576203312701), we get a palindrome (187789505987781).

The spelling of 107213302675080 in words is "one hundred seven trillion, two hundred thirteen billion, three hundred two million, six hundred seventy-five thousand, eighty".