1100105000 has 40 divisors (see below), whose sum is σ = 2577557730. Its totient is φ = 440040000.

The previous prime is 1100104981. The next prime is 1100105011. The reversal of 1100105000 is 5010011.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 70593604 + 1029511396 = 8402^2 + 32086^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1100105000² = 2420462022050000000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 105011 + ... + 115010.

Almost surely, 2^1100105000 is an apocalyptic number.

1100105000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100105000 is an abundant number, since it is smaller than the sum of its proper divisors (1477452730).

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

1100105000 is an equidigital number, since it uses as much as digits as its factorization.

1100105000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220047 (or 220028 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 8.

The square root of 1100105000 is about 33167.8308003403. The cubic root of 1100105000 is about 1032.3129596877.

Adding to 1100105000 its reverse (5010011), we get a palindrome (1105115011).

The spelling of 1100105000 in words is "one billion, one hundred million, one hundred five thousand".