105290020 has 48 divisors (see below), whose sum is σ = 253915200. Its totient is φ = 36270720.

The previous prime is 105289997. The next prime is 105290023. The reversal of 105290020 is 20092501.

It is a super-2 number, since 2×105290020² = 22171976623200800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 105290020.

It is not an unprimeable number, because it can be changed into a prime (105290023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8415 + ... + 16774.

It is an arithmetic number, because the mean of its divisors is an integer number (5289900).

Almost surely, 2^105290020 is an apocalyptic number.

105290020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105290020 is an abundant number, since it is smaller than the sum of its proper divisors (148625180).

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

105290020 is a wasteful number, since it uses less digits than its factorization.

105290020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25228 (or 25226 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 105290020 is about 10261.0925344234. The cubic root of 105290020 is about 472.2033560680.

The spelling of 105290020 in words is "one hundred five million, two hundred ninety thousand, twenty".