105238434 has 64 divisors (see below), whose sum is σ = 248954112. Its totient is φ = 29030400.

The previous prime is 105238433. The next prime is 105238493. The reversal of 105238434 is 434832501.

It is a super-2 number, since 2×105238434² = 22150255981544712, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105238433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 374374 + ... + 374654.

It is an arithmetic number, because the mean of its divisors is an integer number (3889908).

Almost surely, 2^105238434 is an apocalyptic number.

105238434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105238434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124477056).

105238434 is an abundant number, since it is smaller than the sum of its proper divisors (143715678).

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

105238434 is a wasteful number, since it uses less digits than its factorization.

105238434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571.

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 105238434 is about 10258.5785565058. The cubic root of 105238434 is about 472.1262260558.

The spelling of 105238434 in words is "one hundred five million, two hundred thirty-eight thousand, four hundred thirty-four".