10113840 has 120 divisors (see below), whose sum is σ = 37082448. Its totient is φ = 2449920.

The previous prime is 10113823. The next prime is 10113869. The reversal of 10113840 is 4831101.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7282 + ... + 8558.

Almost surely, 2^10113840 is an apocalyptic number.

10113840 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 10113840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18541224).

10113840 is an abundant number, since it is smaller than the sum of its proper divisors (26968608).

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

10113840 is a wasteful number, since it uses less digits than its factorization.

10113840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1307 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 10113840 is about 3180.2264070346. The cubic root of 10113840 is about 216.2579223489.

Adding to 10113840 its reverse (4831101), we get a palindrome (14944941).

It can be divided in two parts, 1011 and 3840, that added together give a triangular number (4851 = T₉₈).

The spelling of 10113840 in words is "ten million, one hundred thirteen thousand, eight hundred forty".