10111040 has 56 divisors (see below), whose sum is σ = 25359360. Its totient is φ = 3829248.

The previous prime is 10111019. The next prime is 10111061. The reversal of 10111040 is 4011101.

It is an interprime number because it is at equal distance from previous prime (10111019) and next prime (10111061).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5249 + ... + 6911.

Almost surely, 2^10111040 is an apocalyptic number.

10111040 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 10111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12679680).

10111040 is an abundant number, since it is smaller than the sum of its proper divisors (15248320).

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

10111040 is a wasteful number, since it uses less digits than its factorization.

10111040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1699 (or 1689 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 10111040 is about 3179.7861563319. The cubic root of 10111040 is about 216.2379636233.

Adding to 10111040 its reverse (4011101), we get a palindrome (14122141).

The spelling of 10111040 in words is "ten million, one hundred eleven thousand, forty".