105216115452 has 144 divisors (see below), whose sum is σ = 291075466752. Its totient is φ = 28956216960.

The previous prime is 105216115393. The next prime is 105216115457. The reversal of 105216115452 is 254511612501.

It is a happy number.

It is a super-2 number, since 2×105216115452² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105216115457) 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, 32971177 + ... + 32974367.

It is an arithmetic number, because the mean of its divisors is an integer number (2021357408).

Almost surely, 2^105216115452 is an apocalyptic number.

105216115452 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 105216115452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145537733376).

105216115452 is an abundant number, since it is smaller than the sum of its proper divisors (185859351300).

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

105216115452 is a wasteful number, since it uses less digits than its factorization.

105216115452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3448 (or 3343 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 33.

Adding to 105216115452 its reverse (254511612501), we get a palindrome (359727727953).

The spelling of 105216115452 in words is "one hundred five billion, two hundred sixteen million, one hundred fifteen thousand, four hundred fifty-two".