105895040 has 64 divisors (see below), whose sum is σ = 268074360. Its totient is φ = 39862272.

The previous prime is 105895033. The next prime is 105895061. The reversal of 105895040 is 40598501.

It can be written as a sum of positive squares in 4 ways, for example, as 104693824 + 1201216 = 10232^2 + 1096^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×105895040² = 22427518993203200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 105894988 and 105895006.

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, 6014 + ... + 15746.

Almost surely, 2^105895040 is an apocalyptic number.

105895040 is a gapful number since it is divisible by the number (10) 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 105895040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134037180).

105895040 is an abundant number, since it is smaller than the sum of its proper divisors (162179320).

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

105895040 is an equidigital number, since it uses as much as digits as its factorization.

105895040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9769 (or 9757 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 32.

The square root of 105895040 is about 10290.5315703320. The cubic root of 105895040 is about 473.1060911899.

The spelling of 105895040 in words is "one hundred five million, eight hundred ninety-five thousand, forty".