105037268 has 24 divisors (see below), whose sum is σ = 210689472. Its totient is φ = 44884224.

The previous prime is 105037267. The next prime is 105037279. The reversal of 105037268 is 862730501.

It is a happy number.

It is a super-2 number, since 2×105037268² = 22065655337807648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105037267) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4571 + ... + 15197.

It is an arithmetic number, because the mean of its divisors is an integer number (8778728).

Almost surely, 2^105037268 is an apocalyptic number.

It is an amenable number.

105037268 is an abundant number, since it is smaller than the sum of its proper divisors (105652204).

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

105037268 is a wasteful number, since it uses less digits than its factorization.

105037268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10991 (or 10989 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 105037268 is about 10248.7690968233. The cubic root of 105037268 is about 471.8252069910.

Adding to 105037268 its reverse (862730501), we get a palindrome (967767769).

It can be divided in two parts, 10503 and 7268, that added together give a palindrome (17771).

The spelling of 105037268 in words is "one hundred five million, thirty-seven thousand, two hundred sixty-eight".