105020090 has 64 divisors (see below), whose sum is σ = 223202304. Its totient is φ = 34833408.

The previous prime is 105020081. The next prime is 105020119. The reversal of 105020090 is 90020501.

It is a super-2 number, since 2×105020090² = 22058438607216200, which contains 22 as substring.

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, 450614 + ... + 450846.

It is an arithmetic number, because the mean of its divisors is an integer number (3487536).

Almost surely, 2^105020090 is an apocalyptic number.

105020090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105020090 is an abundant number, since it is smaller than the sum of its proper divisors (118182214).

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

105020090 is a wasteful number, since it uses less digits than its factorization.

105020090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431.

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 105020090 is about 10247.9310106967. The cubic root of 105020090 is about 471.7994845167.

Adding to 105020090 its reverse (90020501), we get a palindrome (195040591).

The spelling of 105020090 in words is "one hundred five million, twenty thousand, ninety".