105137480 has 64 divisors (see below), whose sum is σ = 273456000. Its totient is φ = 35633664.

The previous prime is 105137479. The next prime is 105137491. The reversal of 105137480 is 84731501.

It is a super-2 number, since 2×105137480² = 22107779401500800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22811 + ... + 27029.

It is an arithmetic number, because the mean of its divisors is an integer number (4272750).

Almost surely, 2^105137480 is an apocalyptic number.

105137480 is a gapful number since it is divisible by the number (10) 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 105137480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136728000).

105137480 is an abundant number, since it is smaller than the sum of its proper divisors (168318520).

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

105137480 is a wasteful number, since it uses less digits than its factorization.

105137480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4326 (or 4322 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 105137480 is about 10253.6569086351. The cubic root of 105137480 is about 471.9752093654.

Adding to 105137480 its reverse (84731501), we get a palindrome (189868981).

The spelling of 105137480 in words is "one hundred five million, one hundred thirty-seven thousand, four hundred eighty".