1101005010 has 144 divisors (see below), whose sum is σ = 3445205400. Its totient is φ = 242952192.

The previous prime is 1101004997. The next prime is 1101005011. The reversal of 1101005010 is 105001011.

It can be written as a sum of positive squares in 4 ways, for example, as 760270329 + 340734681 = 27573^2 + 18459^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1101004983 and 1101005001.

It is not an unprimeable number, because it can be changed into a prime (1101005011) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 123586 + ... + 132194.

Almost surely, 2^1101005010 is an apocalyptic number.

1101005010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1101005010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1722602700).

1101005010 is an abundant number, since it is smaller than the sum of its proper divisors (2344200390).

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

1101005010 is a wasteful number, since it uses less digits than its factorization.

1101005010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8665 (or 8655 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 9.

The square root of 1101005010 is about 33181.3955402723. The cubic root of 1101005010 is about 1032.5943991063.

Adding to 1101005010 its reverse (105001011), we get a palindrome (1206006021).

The spelling of 1101005010 in words is "one billion, one hundred one million, five thousand, ten".