105685398 has 160 divisors (see below), whose sum is σ = 298577664. Its totient is φ = 27200448.

The previous prime is 105685381. The next prime is 105685399. The reversal of 105685398 is 893586501.

105685398 is a `hidden beast` number, since 105 + 6 + 8 + 539 + 8 = 666.

It is a super-2 number, since 2×105685398² = 22338806700836808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105685399) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 987661 + ... + 987767.

Almost surely, 2^105685398 is an apocalyptic number.

105685398 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105685398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149288832).

105685398 is an abundant number, since it is smaller than the sum of its proper divisors (192892266).

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

105685398 is a wasteful number, since it uses less digits than its factorization.

105685398 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 105685398 is about 10280.3403640152. The cubic root of 105685398 is about 472.7936798609.

The spelling of 105685398 in words is "one hundred five million, six hundred eighty-five thousand, three hundred ninety-eight".