105697872 has 200 divisors, whose sum is σ = 357215232. Its totient is φ = 29548800.

The previous prime is 105697871. The next prime is 105697873. The reversal of 105697872 is 278796501.

105697872 is a `hidden beast` number, since 1 + 0 + 569 + 7 + 87 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (105697871) and next prime (105697873).

It is a super-2 number, since 2×105697872² = 22344080290656768, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105697871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 553297 + ... + 553487.

Almost surely, 2^105697872 is an apocalyptic number.

105697872 is a gapful number since it is divisible by the number (12) 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 105697872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178607616).

105697872 is an abundant number, since it is smaller than the sum of its proper divisors (251517360).

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

105697872 is a wasteful number, since it uses less digits than its factorization.

105697872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 105697872 is about 10280.9470380894. The cubic root of 105697872 is about 472.8122803376.

The spelling of 105697872 in words is "one hundred five million, six hundred ninety-seven thousand, eight hundred seventy-two".