105200124 has 48 divisors (see below), whose sum is σ = 251475840. Its totient is φ = 34216000.

The previous prime is 105200119. The next prime is 105200129. The reversal of 105200124 is 421002501.

It is an interprime number because it is at equal distance from previous prime (105200119) and next prime (105200129).

It is a super-2 number, since 2×105200124² = 22134132179230752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105200129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159307 + ... + 159965.

It is an arithmetic number, because the mean of its divisors is an integer number (5239080).

Almost surely, 2^105200124 is an apocalyptic number.

It is an amenable number.

105200124 is an abundant number, since it is smaller than the sum of its proper divisors (146275716).

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

105200124 is a wasteful number, since it uses less digits than its factorization.

105200124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 105200124 is about 10256.7111687909. The cubic root of 105200124 is about 472.0689296536.

Adding to 105200124 its reverse (421002501), we get a palindrome (526202625).

The spelling of 105200124 in words is "one hundred five million, two hundred thousand, one hundred twenty-four".