105065269023120 has 320 divisors, whose sum is σ = 374152715550720. Its totient is φ = 23891148288000.

The previous prime is 105065269023083. The next prime is 105065269023131. The reversal of 105065269023120 is 21320962560501.

It is a happy number.

It is a super-2 number, since 2×105065269023120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 413840220 + ... + 414094020.

It is an arithmetic number, because the mean of its divisors is an integer number (1169227236096).

Almost surely, 2^{105065269023120} is an apocalyptic number.

105065269023120 is a gapful number since it is divisible by the number (10) 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 105065269023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187076357775360).

105065269023120 is an abundant number, since it is smaller than the sum of its proper divisors (269087446527600).

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

105065269023120 is a wasteful number, since it uses less digits than its factorization.

105065269023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255094 (or 255088 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The spelling of 105065269023120 in words is "one hundred five trillion, sixty-five billion, two hundred sixty-nine million, twenty-three thousand, one hundred twenty".