105210420 has 48 divisors (see below), whose sum is σ = 336674688. Its totient is φ = 24048000.

The previous prime is 105210409. The next prime is 105210431. The reversal of 105210420 is 24012501.

It is an interprime number because it is at equal distance from previous prime (105210409) and next prime (105210431).

It is a super-2 number, since 2×105210420² = 22138464953152800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 105210420.

It is a congruent number.

It is an unprimeable number.

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, 124831 + ... + 125670.

It is an arithmetic number, because the mean of its divisors is an integer number (7014056).

Almost surely, 2^105210420 is an apocalyptic number.

105210420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105210420 is an abundant number, since it is smaller than the sum of its proper divisors (231464268).

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

105210420 is a wasteful number, since it uses less digits than its factorization.

105210420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250520 (or 250518 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 105210420 is about 10257.2130717851. The cubic root of 105210420 is about 472.0843297088.

Adding to 105210420 its reverse (24012501), we get a palindrome (129222921).

The spelling of 105210420 in words is "one hundred five million, two hundred ten thousand, four hundred twenty".