105266840 has 128 divisors (see below), whose sum is σ = 291686400. Its totient is φ = 33384960.

The previous prime is 105266807. The next prime is 105266869. The reversal of 105266840 is 48662501.

It is a super-2 number, since 2×105266840² = 22162215207171200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105266797 and 105266806.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 249830 + ... + 250250.

It is an arithmetic number, because the mean of its divisors is an integer number (2278800).

Almost surely, 2^105266840 is an apocalyptic number.

105266840 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 105266840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145843200).

105266840 is an abundant number, since it is smaller than the sum of its proper divisors (186419560).

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

105266840 is a wasteful number, since it uses less digits than its factorization.

105266840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 105266840 is about 10259.9629628961. The cubic root of 105266840 is about 472.1687010674.

The spelling of 105266840 in words is "one hundred five million, two hundred sixty-six thousand, eight hundred forty".