1005223100 has 72 divisors (see below), whose sum is σ = 2508172800. Its totient is φ = 342544320.

The previous prime is 1005223099. The next prime is 1005223103. The reversal of 1005223100 is 13225001.

It is a happy number.

It is a super-2 number, since 2×1005223100² = 2020946961547220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005223103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112601 + ... + 121199.

Almost surely, 2^1005223100 is an apocalyptic number.

1005223100 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 1005223100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254086400).

1005223100 is an abundant number, since it is smaller than the sum of its proper divisors (1502949700).

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

1005223100 is a wasteful number, since it uses less digits than its factorization.

1005223100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8787 (or 8780 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 1005223100 is about 31705.2535078968. The cubic root of 1005223100 is about 1001.7380109014.

Adding to 1005223100 its reverse (13225001), we get a palindrome (1018448101).

The spelling of 1005223100 in words is "one billion, five million, two hundred twenty-three thousand, one hundred".