105402305250 has 768 divisors, whose sum is σ = 346934016000. Its totient is φ = 22800960000.

The previous prime is 105402305237. The next prime is 105402305317. The reversal of 105402305250 is 52503204501.

It is a happy number.

105402305250 is a `hidden beast` number, since 1 + 0 + 5 + 402 + 3 + 0 + 5 + 250 = 666.

It is a super-2 number, since 2×105402305250² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 804597685 + ... + 804597815.

It is an arithmetic number, because the mean of its divisors is an integer number (451737000).

Almost surely, 2^105402305250 is an apocalyptic number.

105402305250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105402305250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173467008000).

105402305250 is an abundant number, since it is smaller than the sum of its proper divisors (241531710750).

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

105402305250 is a wasteful number, since it uses less digits than its factorization.

105402305250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

Adding to 105402305250 its reverse (52503204501), we get a palindrome (157905509751).

The spelling of 105402305250 in words is "one hundred five billion, four hundred two million, three hundred five thousand, two hundred fifty".