105113232 has 90 divisors (see below), whose sum is σ = 342221958. Its totient is φ = 30030336.

The previous prime is 105113231. The next prime is 105113233. The reversal of 105113232 is 232311501.

It is an interprime number because it is at equal distance from previous prime (105113231) and next prime (105113233).

It can be written as a sum of positive squares in only one way, i.e., 103306896 + 1806336 = 10164^2 + 1344^2 .

It is a super-2 number, since 2×105113232² = 22097583082971648, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (105113231) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 393 + ... + 14504.

Almost surely, 2^105113232 is an apocalyptic number.

105113232 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 105113232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171110979).

105113232 is an abundant number, since it is smaller than the sum of its proper divisors (237108726).

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

105113232 is a wasteful number, since it uses less digits than its factorization.

105113232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14925 (or 14909 counting only the distinct ones).

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

The square root of 105113232 is about 10252.4744330332. The cubic root of 105113232 is about 471.9389224808.

Adding to 105113232 its reverse (232311501), we get a palindrome (337424733).

The spelling of 105113232 in words is "one hundred five million, one hundred thirteen thousand, two hundred thirty-two".