105201253050 has 48 divisors (see below), whose sum is σ = 260926246080. Its totient is φ = 28050749440.

The previous prime is 105201253013. The next prime is 105201253057. The reversal of 105201253050 is 50352102501.

It is a happy number.

It is a super-2 number, since 2×105201253050² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105201253050.

It is not an unprimeable number, because it can be changed into a prime (105201253057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1678171 + ... + 1739729.

It is an arithmetic number, because the mean of its divisors is an integer number (5435963460).

Almost surely, 2^105201253050 is an apocalyptic number.

105201253050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105201253050 is an abundant number, since it is smaller than the sum of its proper divisors (155724993030).

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

105201253050 is a wasteful number, since it uses less digits than its factorization.

105201253050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72967 (or 72962 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

Adding to 105201253050 its reverse (50352102501), we get a palindrome (155553355551).

The spelling of 105201253050 in words is "one hundred five billion, two hundred one million, two hundred fifty-three thousand, fifty".