1152010100 has 72 divisors (see below), whose sum is σ = 2671625880. Its totient is φ = 429649920.

The previous prime is 1152010073. The next prime is 1152010129. The reversal of 1152010100 is 10102511.

It can be written as a sum of positive squares in 12 ways, for example, as 30162064 + 1121848036 = 5492^2 + 33494^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182192 + ... + 188408.

It is an arithmetic number, because the mean of its divisors is an integer number (37105915).

Almost surely, 2^1152010100 is an apocalyptic number.

1152010100 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 1152010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335812940).

1152010100 is an abundant number, since it is smaller than the sum of its proper divisors (1519615780).

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

1152010100 is a wasteful number, since it uses less digits than its factorization.

1152010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6357 (or 6350 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 11.

The square root of 1152010100 is about 33941.2742836800. The cubic root of 1152010100 is about 1048.2996212728.

Adding to 1152010100 its reverse (10102511), we get a palindrome (1162112611).

The spelling of 1152010100 in words is "one billion, one hundred fifty-two million, ten thousand, one hundred".