105513252 has 96 divisors (see below), whose sum is σ = 278570880. Its totient is φ = 30858240.

The previous prime is 105513241. The next prime is 105513253. The reversal of 105513252 is 252315501.

It is a happy number.

It is a super-2 number, since 2×105513252² = 22266092695231008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105513253) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 375352 + ... + 375632.

It is an arithmetic number, because the mean of its divisors is an integer number (2901780).

Almost surely, 2^105513252 is an apocalyptic number.

105513252 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 105513252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139285440).

105513252 is an abundant number, since it is smaller than the sum of its proper divisors (173057628).

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

105513252 is a wasteful number, since it uses less digits than its factorization.

105513252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 411 counting only the distinct ones).

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

The square root of 105513252 is about 10271.9643690971. The cubic root of 105513252 is about 472.5368365223.

Adding to 105513252 its reverse (252315501), we get a palindrome (357828753).

The spelling of 105513252 in words is "one hundred five million, five hundred thirteen thousand, two hundred fifty-two".