105642420 has 192 divisors, whose sum is σ = 349526016. Its totient is φ = 23592960.

The previous prime is 105642401. The next prime is 105642421. The reversal of 105642420 is 24246501.

It is a super-2 number, since 2×105642420² = 22320641806912800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105642421) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 410932 + ... + 411188.

It is an arithmetic number, because the mean of its divisors is an integer number (1820448).

Almost surely, 2^105642420 is an apocalyptic number.

105642420 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 105642420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174763008).

105642420 is an abundant number, since it is smaller than the sum of its proper divisors (243883596).

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

105642420 is a wasteful number, since it uses less digits than its factorization.

105642420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 105642420 is about 10278.2498510204. The cubic root of 105642420 is about 472.7295824479.

Adding to 105642420 its reverse (24246501), we get a palindrome (129888921).

The spelling of 105642420 in words is "one hundred five million, six hundred forty-two thousand, four hundred twenty".