107742648310 has 96 divisors (see below), whose sum is σ = 223095902400. Its totient is φ = 37364954880.

The previous prime is 107742648301. The next prime is 107742648313. The reversal of 107742648310 is 13846247701.

It is a super-2 number, since 2×107742648310² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107742648313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9707124 + ... + 9718216.

It is an arithmetic number, because the mean of its divisors is an integer number (2323915650).

Almost surely, 2^107742648310 is an apocalyptic number.

107742648310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

107742648310 is an abundant number, since it is smaller than the sum of its proper divisors (115353254090).

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

107742648310 is a wasteful number, since it uses less digits than its factorization.

107742648310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11494 (or 11483 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 43.

The spelling of 107742648310 in words is "one hundred seven billion, seven hundred forty-two million, six hundred forty-eight thousand, three hundred ten".