105090060 has 48 divisors (see below), whose sum is σ = 294739200. Its totient is φ = 27977664.

The previous prime is 105090053. The next prime is 105090067. The reversal of 105090060 is 60090501.

It is an interprime number because it is at equal distance from previous prime (105090053) and next prime (105090067).

It is a super-2 number, since 2×105090060² = 22087841421607200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105090067) 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, 50521 + ... + 52559.

It is an arithmetic number, because the mean of its divisors is an integer number (6140400).

Almost surely, 2^105090060 is an apocalyptic number.

105090060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105090060 is an abundant number, since it is smaller than the sum of its proper divisors (189649140).

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

105090060 is a wasteful number, since it uses less digits than its factorization.

105090060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2910 (or 2908 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 105090060 is about 10251.3443020903. The cubic root of 105090060 is about 471.9042406043.

The spelling of 105090060 in words is "one hundred five million, ninety thousand, sixty".