105102200352 has 96 divisors (see below), whose sum is σ = 281472988608. Its totient is φ = 34327294976.

The previous prime is 105102200347. The next prime is 105102200353. The reversal of 105102200352 is 253002201501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×105102200352² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105102200353) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3919663 + ... + 3946385.

It is an arithmetic number, because the mean of its divisors is an integer number (2932010298).

Almost surely, 2^105102200352 is an apocalyptic number.

105102200352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105102200352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140736494304).

105102200352 is an abundant number, since it is smaller than the sum of its proper divisors (176370788256).

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

105102200352 is a wasteful number, since it uses less digits than its factorization.

105102200352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27562 (or 27554 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

Adding to 105102200352 its reverse (253002201501), we get a palindrome (358104401853).

The spelling of 105102200352 in words is "one hundred five billion, one hundred two million, two hundred thousand, three hundred fifty-two".