105686436 has 24 divisors (see below), whose sum is σ = 259581280. Its totient is φ = 33374592.

The previous prime is 105686431. The next prime is 105686459. The reversal of 105686436 is 634686501.

It is a super-2 number, since 2×105686436² = 22339245508764192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105686394 and 105686403.

It is not an unprimeable number, because it can be changed into a prime (105686431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 231541 + ... + 231996.

Almost surely, 2^105686436 is an apocalyptic number.

It is an amenable number.

105686436 is an abundant number, since it is smaller than the sum of its proper divisors (153894844).

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

105686436 is a wasteful number, since it uses less digits than its factorization.

105686436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463563 (or 463561 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 105686436 is about 10280.3908486010. The cubic root of 105686436 is about 472.7952277197.

The spelling of 105686436 in words is "one hundred five million, six hundred eighty-six thousand, four hundred thirty-six".