105302013102 has 96 divisors (see below), whose sum is σ = 268905401856. Its totient is φ = 29360174400.

The previous prime is 105302013101. The next prime is 105302013133. The reversal of 105302013102 is 201310203501.

105302013102 is a `hidden beast` number, since 1 + 0 + 530 + 2 + 0 + 131 + 0 + 2 = 666.

It is a super-2 number, since 2×105302013102² (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 (105302013101) 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, 734743 + ... + 866285.

It is an arithmetic number, because the mean of its divisors is an integer number (2801097936).

Almost surely, 2^105302013102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105302013102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134452700928).

105302013102 is an abundant number, since it is smaller than the sum of its proper divisors (163603388754).

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

105302013102 is a wasteful number, since it uses less digits than its factorization.

105302013102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131886 (or 131883 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 105302013102 its reverse (201310203501), we get a palindrome (306612216603).

The spelling of 105302013102 in words is "one hundred five billion, three hundred two million, thirteen thousand, one hundred two".