105055420 has 24 divisors (see below), whose sum is σ = 224235648. Its totient is φ = 41332800.

The previous prime is 105055411. The next prime is 105055439. The reversal of 105055420 is 24550501.

It is a super-2 number, since 2×105055420² = 22073282542752800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105055391 and 105055400.

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 7 ways as a sum of consecutive naturals, for example, 41836 + ... + 44275.

It is an arithmetic number, because the mean of its divisors is an integer number (9343152).

Almost surely, 2^105055420 is an apocalyptic number.

105055420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105055420 is an abundant number, since it is smaller than the sum of its proper divisors (119180228).

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

105055420 is a wasteful number, since it uses less digits than its factorization.

105055420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86181 (or 86179 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 22.

The square root of 105055420 is about 10249.6546283277. The cubic root of 105055420 is about 471.8523848934.

The spelling of 105055420 in words is "one hundred five million, fifty-five thousand, four hundred twenty".