105036492 has 96 divisors (see below), whose sum is σ = 288852480. Its totient is φ = 29370880.

The previous prime is 105036479. The next prime is 105036509. The reversal of 105036492 is 294630501.

It is a super-2 number, since 2×105036492² = 22065329303332128, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87448 + ... + 88640.

It is an arithmetic number, because the mean of its divisors is an integer number (3008880).

Almost surely, 2^105036492 is an apocalyptic number.

105036492 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 105036492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144426240).

105036492 is an abundant number, since it is smaller than the sum of its proper divisors (183815988).

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

105036492 is a wasteful number, since it uses less digits than its factorization.

105036492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 105036492 is about 10248.7312385485. The cubic root of 105036492 is about 471.8240450629.

Adding to 105036492 its reverse (294630501), we get a palindrome (399666993).

The spelling of 105036492 in words is "one hundred five million, thirty-six thousand, four hundred ninety-two".