105905478 has 64 divisors (see below), whose sum is σ = 267494400. Its totient is φ = 27236352.

The previous prime is 105905467. The next prime is 105905519. The reversal of 105905478 is 874509501.

It is a super-2 number, since 2×105905478² = 22431940540816968, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13198 + ... + 19646.

It is an arithmetic number, because the mean of its divisors is an integer number (4179600).

Almost surely, 2^105905478 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105905478, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133747200).

105905478 is an abundant number, since it is smaller than the sum of its proper divisors (161588922).

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

105905478 is a wasteful number, since it uses less digits than its factorization.

105905478 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6501.

The product of its (nonzero) digits is 50400, while the sum is 39.

The square root of 105905478 is about 10291.0387230833. The cubic root of 105905478 is about 473.1216352580.

The spelling of 105905478 in words is "one hundred five million, nine hundred five thousand, four hundred seventy-eight".