105678336 has 80 divisors (see below), whose sum is σ = 284606784. Its totient is φ = 34842624.

The previous prime is 105678329. The next prime is 105678367. The reversal of 105678336 is 633876501.

It is a super-2 number, since 2×105678336² = 22335821399457792, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105678294 and 105678303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 164031 + ... + 164673.

Almost surely, 2^105678336 is an apocalyptic number.

105678336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105678336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142303392).

105678336 is an abundant number, since it is smaller than the sum of its proper divisors (178928448).

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

105678336 is an equidigital number, since it uses as much as digits as its factorization.

105678336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 105678336 is about 10279.9968871591. The cubic root of 105678336 is about 472.7831487834.

The spelling of 105678336 in words is "one hundred five million, six hundred seventy-eight thousand, three hundred thirty-six".