105269304000 has 1792 divisors, whose sum is σ = 460120227840. Its totient is φ = 20643840000.

The previous prime is 105269303933. The next prime is 105269304001. The reversal of 105269304000 is 403962501.

It is a super-2 number, since 2×105269304000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (105269304001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2567543980 + ... + 2567544020.

It is an arithmetic number, because the mean of its divisors is an integer number (256763520).

Almost surely, 2^105269304000 is an apocalyptic number.

105269304000 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 105269304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230060113920).

105269304000 is an abundant number, since it is smaller than the sum of its proper divisors (354850923840).

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

105269304000 is a wasteful number, since it uses less digits than its factorization.

105269304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 105269304000 in words is "one hundred five billion, two hundred sixty-nine million, three hundred four thousand".