105009480 has 64 divisors (see below), whose sum is σ = 350035200. Its totient is φ = 28002240.

The previous prime is 105009451. The next prime is 105009511. The reversal of 105009480 is 84900501.

It is a super-2 number, since 2×105009480² = 22053981779740800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 47536 + ... + 49695.

It is an arithmetic number, because the mean of its divisors is an integer number (5469300).

Almost surely, 2^105009480 is an apocalyptic number.

105009480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105009480 is an abundant number, since it is smaller than the sum of its proper divisors (245025720).

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

105009480 is a wasteful number, since it uses less digits than its factorization.

105009480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97251 (or 97241 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 105009480 is about 10247.4133321536. The cubic root of 105009480 is about 471.7835956167.

Adding to 105009480 its reverse (84900501), we get a palindrome (189909981).

The spelling of 105009480 in words is "one hundred five million, nine thousand, four hundred eighty".