105299220 has 48 divisors (see below), whose sum is σ = 317520000. Its totient is φ = 25919616.

The previous prime is 105299213. The next prime is 105299231. The reversal of 105299220 is 22992501.

It is a super-2 number, since 2×105299220² = 22175851465216800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66720 + ... + 68279.

It is an arithmetic number, because the mean of its divisors is an integer number (6615000).

Almost surely, 2^105299220 is an apocalyptic number.

105299220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105299220 is an abundant number, since it is smaller than the sum of its proper divisors (212220780).

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

105299220 is a wasteful number, since it uses less digits than its factorization.

105299220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135024 (or 135022 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 105299220 is about 10261.5408199744. The cubic root of 105299220 is about 472.2171090155.

The spelling of 105299220 in words is "one hundred five million, two hundred ninety-nine thousand, two hundred twenty".