105114662120424 has 192 divisors, whose sum is σ = 300876516057600. Its totient is φ = 30346621360000.

The previous prime is 105114662120417. The next prime is 105114662120431. The reversal of 105114662120424 is 424021266411501.

It is an interprime number because it is at equal distance from previous prime (105114662120417) and next prime (105114662120431).

It is a super-2 number, since 2×105114662120424² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33554317 + ... + 36552995.

It is an arithmetic number, because the mean of its divisors is an integer number (1567065187800).

Almost surely, 2^{105114662120424} 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 105114662120424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150438258028800).

105114662120424 is an abundant number, since it is smaller than the sum of its proper divisors (195761853937176).

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

105114662120424 is a wasteful number, since it uses less digits than its factorization.

105114662120424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2998996 (or 2998969 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 105114662120424 in words is "one hundred five trillion, one hundred fourteen billion, six hundred sixty-two million, one hundred twenty thousand, four hundred twenty-four".