1016152200 has 432 divisors, whose sum is σ = 4081027860. Its totient is φ = 225792000.

The previous prime is 1016152187. The next prime is 1016152219. The reversal of 1016152200 is 22516101.

It can be written as a sum of positive squares in 6 ways, for example, as 193265604 + 822886596 = 13902^2 + 28686^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3616060 + ... + 3616340.

Almost surely, 2^1016152200 is an apocalyptic number.

1016152200 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 1016152200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2040513930).

1016152200 is an abundant number, since it is smaller than the sum of its proper divisors (3064875660).

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

1016152200 is a wasteful number, since it uses less digits than its factorization.

1016152200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1016152200 is about 31877.1422809511. The cubic root of 1016152200 is about 1005.3553358483.

Adding to 1016152200 its reverse (22516101), we get a palindrome (1038668301).

The spelling of 1016152200 in words is "one billion, sixteen million, one hundred fifty-two thousand, two hundred".