105842634 has 32 divisors (see below), whose sum is σ = 219741120. Its totient is φ = 33946752.

The previous prime is 105842599. The next prime is 105842641. The reversal of 105842634 is 436248501.

It is a super-2 number, since 2×105842634² = 22405326344115912, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105842595 and 105842604.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59502 + ... + 61254.

It is an arithmetic number, because the mean of its divisors is an integer number (6866910).

Almost surely, 2^105842634 is an apocalyptic number.

105842634 is an abundant number, since it is smaller than the sum of its proper divisors (113898486).

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

105842634 is a wasteful number, since it uses less digits than its factorization.

105842634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2134.

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 105842634 is about 10287.9849338925. The cubic root of 105842634 is about 473.0280337444.

The spelling of 105842634 in words is "one hundred five million, eight hundred forty-two thousand, six hundred thirty-four".