105201112302 has 96 divisors (see below), whose sum is σ = 268906659840. Its totient is φ = 29303588160.

The previous prime is 105201112273. The next prime is 105201112307. The reversal of 105201112302 is 203211102501.

105201112302 is a `hidden beast` number, since 1 + 0 + 520 + 1 + 112 + 30 + 2 = 666.

It is a super-2 number, since 2×105201112302² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105201112307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 529683 + ... + 700689.

It is an arithmetic number, because the mean of its divisors is an integer number (2801111040).

Almost surely, 2^105201112302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105201112302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134453329920).

105201112302 is an abundant number, since it is smaller than the sum of its proper divisors (163705547538).

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

105201112302 is a wasteful number, since it uses less digits than its factorization.

105201112302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171278 (or 171275 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 105201112302 its reverse (203211102501), we get a palindrome (308412214803).

The spelling of 105201112302 in words is "one hundred five billion, two hundred one million, one hundred twelve thousand, three hundred two".