107123032270848 has 288 divisors, whose sum is σ = 324739533736800. Its totient is φ = 31342155694080.

The previous prime is 107123032270847. The next prime is 107123032270873. The reversal of 107123032270848 is 848072230321701.

107123032270848 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×107123032270848² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 107123032270797 and 107123032270806.

It is not an unprimeable number, because it can be changed into a prime (107123032270847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19074915 + ... + 24043677.

It is an arithmetic number, because the mean of its divisors is an integer number (1127567825475).

Almost surely, 2^{107123032270848} 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 107123032270848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162369766868400).

107123032270848 is an abundant number, since it is smaller than the sum of its proper divisors (217616501465952).

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

107123032270848 is a wasteful number, since it uses less digits than its factorization.

107123032270848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4968839 (or 4968808 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The spelling of 107123032270848 in words is "one hundred seven trillion, one hundred twenty-three billion, thirty-two million, two hundred seventy thousand, eight hundred forty-eight".