107282591312 has 160 divisors (see below), whose sum is σ = 238941373440. Its totient is φ = 46309294080.

The previous prime is 107282591263. The next prime is 107282591359. The reversal of 107282591312 is 213195282701.

It is a self number, because there is not a number n which added to its sum of digits gives 107282591312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26892614 + ... + 26896602.

It is an arithmetic number, because the mean of its divisors is an integer number (1493383584).

Almost surely, 2^107282591312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107282591312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119470686720).

107282591312 is an abundant number, since it is smaller than the sum of its proper divisors (131658782128).

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

107282591312 is a wasteful number, since it uses less digits than its factorization.

107282591312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4181 (or 4175 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 41.

The spelling of 107282591312 in words is "one hundred seven billion, two hundred eighty-two million, five hundred ninety-one thousand, three hundred twelve".