105535872 has 256 divisors, whose sum is σ = 351288000. Its totient is φ = 31352832.

The previous prime is 105535867. The next prime is 105535907. The reversal of 105535872 is 278535501.

It is a super-2 number, since 2×105535872² = 22275640557600768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3639154 + ... + 3639182.

Almost surely, 2^105535872 is an apocalyptic number.

105535872 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 105535872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175644000).

105535872 is an abundant number, since it is smaller than the sum of its proper divisors (245752128).

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

105535872 is an frugal number, since it uses more digits than its factorization.

105535872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 105535872 is about 10273.0653653133. The cubic root of 105535872 is about 472.5706016950.

The spelling of 105535872 in words is "one hundred five million, five hundred thirty-five thousand, eight hundred seventy-two".