107112341448 has 144 divisors (see below), whose sum is σ = 338055878160. Its totient is φ = 30549355200.

The previous prime is 107112341431. The next prime is 107112341461. The reversal of 107112341448 is 844143211701.

107112341448 is a `hidden beast` number, since 10 + 71 + 123 + 414 + 48 = 666.

It is a super-2 number, since 2×107112341448² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1987903 + ... + 2041073.

It is an arithmetic number, because the mean of its divisors is an integer number (2347610265).

Almost surely, 2^107112341448 is an apocalyptic number.

107112341448 is a gapful number since it is divisible by the number (18) 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 107112341448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169027939080).

107112341448 is an abundant number, since it is smaller than the sum of its proper divisors (230943536712).

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

107112341448 is a wasteful number, since it uses less digits than its factorization.

107112341448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53768 (or 53754 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 107112341448 in words is "one hundred seven billion, one hundred twelve million, three hundred forty-one thousand, four hundred forty-eight".