105265040 has 80 divisors (see below), whose sum is σ = 254983680. Its totient is φ = 40381440.

The previous prime is 105265033. The next prime is 105265063. The reversal of 105265040 is 40562501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105265040² = 22161457292403200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105264997 and 105265015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219521 + ... + 219999.

It is an arithmetic number, because the mean of its divisors is an integer number (3187296).

Almost surely, 2^105265040 is an apocalyptic number.

105265040 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 105265040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127491840).

105265040 is an abundant number, since it is smaller than the sum of its proper divisors (149718640).

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

105265040 is a wasteful number, since it uses less digits than its factorization.

105265040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 105265040 is about 10259.8752429062. The cubic root of 105265040 is about 472.1660097846.

The spelling of 105265040 in words is "one hundred five million, two hundred sixty-five thousand, forty".