10505040 has 240 divisors, whose sum is σ = 41390208. Its totient is φ = 2156544.

The previous prime is 10505039. The next prime is 10505083. The reversal of 10505040 is 4050501.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×10505040² = 220711730803200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 283902 + ... + 283938.

Almost surely, 2^10505040 is an apocalyptic number.

10505040 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 10505040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20695104).

10505040 is an abundant number, since it is smaller than the sum of its proper divisors (30885168).

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

10505040 is a wasteful number, since it uses less digits than its factorization.

10505040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 10505040 is about 3241.1479447875. The cubic root of 10505040 is about 219.0109875432.

10505040 divided by its sum of digits (15) gives a triangular number (700336 = T₁₁₈₃).

Adding to 10505040 its reverse (4050501), we get a palindrome (14555541).

The spelling of 10505040 in words is "ten million, five hundred five thousand, forty".