105420120 has 64 divisors (see below), whose sum is σ = 340593120. Its totient is φ = 25949184.

The previous prime is 105420101. The next prime is 105420149. The reversal of 105420120 is 21024501.

It is a super-2 number, since 2×105420120² = 22226803401628800, 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 105420120.

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, 32229 + ... + 35348.

Almost surely, 2^105420120 is an apocalyptic number.

105420120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105420120 is an abundant number, since it is smaller than the sum of its proper divisors (235173000).

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

105420120 is a wasteful number, since it uses less digits than its factorization.

105420120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67604 (or 67600 counting only the distinct ones).

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

The square root of 105420120 is about 10267.4300581986. The cubic root of 105420120 is about 472.3977662973.

Adding to 105420120 its reverse (21024501), we get a palindrome (126444621).

The spelling of 105420120 in words is "one hundred five million, four hundred twenty thousand, one hundred twenty".