105252303150 has 144 divisors (see below), whose sum is σ = 310501782864. Its totient is φ = 26416212480.

The previous prime is 105252303131. The next prime is 105252303179. The reversal of 105252303150 is 51303252501.

It is a happy number.

105252303150 is a `hidden beast` number, since 10 + 52 + 523 + 0 + 31 + 50 = 666.

It is a super-2 number, since 2×105252303150² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 48237 + ... + 461336.

It is an arithmetic number, because the mean of its divisors is an integer number (2156262381).

Almost surely, 2^105252303150 is an apocalyptic number.

105252303150 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 105252303150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155250891432).

105252303150 is an abundant number, since it is smaller than the sum of its proper divisors (205249479714).

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

105252303150 is a wasteful number, since it uses less digits than its factorization.

105252303150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509617 (or 509600 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

Adding to 105252303150 its reverse (51303252501), we get a palindrome (156555555651).

The spelling of 105252303150 in words is "one hundred five billion, two hundred fifty-two million, three hundred three thousand, one hundred fifty".