105921420 has 144 divisors (see below), whose sum is σ = 336317184. Its totient is φ = 24700800.

The previous prime is 105921419. The next prime is 105921433. The reversal of 105921420 is 24129501.

It is a super-2 number, since 2×105921420² = 22438694429632800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 634177 + ... + 634343.

It is an arithmetic number, because the mean of its divisors is an integer number (2335536).

Almost surely, 2^105921420 is an apocalyptic number.

105921420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105921420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168158592).

105921420 is an abundant number, since it is smaller than the sum of its proper divisors (230395764).

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

105921420 is a wasteful number, since it uses less digits than its factorization.

105921420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 105921420 is about 10291.8132513178. The cubic root of 105921420 is about 473.1453738056.

The spelling of 105921420 in words is "one hundred five million, nine hundred twenty-one thousand, four hundred twenty".