105131052 has 72 divisors (see below), whose sum is σ = 293223840. Its totient is φ = 31553280.

The previous prime is 105131021. The next prime is 105131053. The reversal of 105131052 is 250131501.

It is a super-2 number, since 2×105131052² = 22105076189253408, 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 (105131053) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16449 + ... + 21927.

Almost surely, 2^105131052 is an apocalyptic number.

105131052 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 105131052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146611920).

105131052 is an abundant number, since it is smaller than the sum of its proper divisors (188092788).

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

105131052 is a wasteful number, since it uses less digits than its factorization.

105131052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5543 (or 5538 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 105131052 is about 10253.3434546981. The cubic root of 105131052 is about 471.9655904725.

Adding to 105131052 its reverse (250131501), we get a palindrome (355262553).

The spelling of 105131052 in words is "one hundred five million, one hundred thirty-one thousand, fifty-two".