105038634 has 16 divisors (see below), whose sum is σ = 215755488. Its totient is φ = 34066512.

The previous prime is 105038629. The next prime is 105038639. The reversal of 105038634 is 436830501.

It is an interprime number because it is at equal distance from previous prime (105038629) and next prime (105038639).

It is a super-2 number, since 2×105038634² = 22066229265171912, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105038639) by changing a digit.

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, 236352 + ... + 236795.

It is an arithmetic number, because the mean of its divisors is an integer number (13484718).

Almost surely, 2^105038634 is an apocalyptic number.

105038634 is an abundant number, since it is smaller than the sum of its proper divisors (110716854).

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

105038634 is a wasteful number, since it uses less digits than its factorization.

105038634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473189.

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 105038634 is about 10248.8357387559. The cubic root of 105038634 is about 471.8272523299.

The spelling of 105038634 in words is "one hundred five million, thirty-eight thousand, six hundred thirty-four".