105117480 has 128 divisors (see below), whose sum is σ = 377395200. Its totient is φ = 25871616.

The previous prime is 105117469. The next prime is 105117491. The reversal of 105117480 is 84711501.

105117480 is a `hidden beast` number, since 1 + 0 + 511 + 74 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (105117469) and next prime (105117491).

It is a super-2 number, since 2×105117480² = 22099369203100800, 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 31 ways as a sum of consecutive naturals, for example, 10297 + ... + 17783.

It is an arithmetic number, because the mean of its divisors is an integer number (2948400).

Almost surely, 2^105117480 is an apocalyptic number.

105117480 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 105117480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188697600).

105117480 is an abundant number, since it is smaller than the sum of its proper divisors (272277720).

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

105117480 is a wasteful number, since it uses less digits than its factorization.

105117480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7520 (or 7510 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 105117480 is about 10252.6816004400. The cubic root of 105117480 is about 471.9452799726.

Adding to 105117480 its reverse (84711501), we get a palindrome (189828981).

The spelling of 105117480 in words is "one hundred five million, one hundred seventeen thousand, four hundred eighty".