105353220 has 48 divisors (see below), whose sum is σ = 337131648. Its totient is φ = 24080640.

The previous prime is 105353207. The next prime is 105353249. The reversal of 105353220 is 22353501.

It is a super-2 number, since 2×105353220² = 22198601928736800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125001 + ... + 125840.

It is an arithmetic number, because the mean of its divisors is an integer number (7023576).

Almost surely, 2^105353220 is an apocalyptic number.

105353220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105353220 is an abundant number, since it is smaller than the sum of its proper divisors (231778428).

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

105353220 is a wasteful number, since it uses less digits than its factorization.

105353220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250860 (or 250858 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 105353220 is about 10264.1716665301. The cubic root of 105353220 is about 472.2978166921.

It can be divided in two parts, 105 and 353220, that multiplied together give a square (37088100 = 6090²).

The spelling of 105353220 in words is "one hundred five million, three hundred fifty-three thousand, two hundred twenty".