1105142640 has 320 divisors, whose sum is σ = 4201445376. Its totient is φ = 234786816.

The previous prime is 1105142639. The next prime is 1105142669. The reversal of 1105142640 is 462415011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1105142640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1429294 + ... + 1430066.

Almost surely, 2^1105142640 is an apocalyptic number.

1105142640 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 1105142640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2100722688).

1105142640 is an abundant number, since it is smaller than the sum of its proper divisors (3096302736).

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

1105142640 is a wasteful number, since it uses less digits than its factorization.

1105142640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 1105142640 is about 33243.6857162379. The cubic root of 1105142640 is about 1033.8862953259.

Adding to 1105142640 its reverse (462415011), we get a palindrome (1567557651).

The spelling of 1105142640 in words is "one billion, one hundred five million, one hundred forty-two thousand, six hundred forty".