1105506864 has 240 divisors, whose sum is σ = 3885822720. Its totient is φ = 285027840.

The previous prime is 1105506863. The next prime is 1105506869. The reversal of 1105506864 is 4686055011.

It is a super-2 number, since 2×1105506864² = 2444290852702228992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1105506863) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1984474 + ... + 1985030.

It is an arithmetic number, because the mean of its divisors is an integer number (16190928).

Almost surely, 2^1105506864 is an apocalyptic number.

1105506864 is a gapful number since it is divisible by the number (14) 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 1105506864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1942911360).

1105506864 is an abundant number, since it is smaller than the sum of its proper divisors (2780315856).

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

1105506864 is a wasteful number, since it uses less digits than its factorization.

1105506864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 1105506864 is about 33249.1633578952. The cubic root of 1105506864 is about 1033.9998628201. Note that the first 3 decimals are identical.

The spelling of 1105506864 in words is "one billion, one hundred five million, five hundred six thousand, eight hundred sixty-four".