105233865120 has 960 divisors, whose sum is σ = 432322894080. Its totient is φ = 23911759872.

The previous prime is 105233865109. The next prime is 105233865167. The reversal of 105233865120 is 21568332501.

105233865120 is a `hidden beast` number, since 1 + 0 + 523 + 3 + 8 + 6 + 5 + 120 = 666.

It is a super-2 number, since 2×105233865120² (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 159 ways as a sum of consecutive naturals, for example, 96279294 + ... + 96280386.

It is an arithmetic number, because the mean of its divisors is an integer number (450336348).

Almost surely, 2^105233865120 is an apocalyptic number.

105233865120 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 105233865120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216161447040).

105233865120 is an abundant number, since it is smaller than the sum of its proper divisors (327089028960).

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

105233865120 is a wasteful number, since it uses less digits than its factorization.

105233865120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 105233865120 in words is "one hundred five billion, two hundred thirty-three million, eight hundred sixty-five thousand, one hundred twenty".