100600900 has 81 divisors (see below), whose sum is σ = 235897879. Its totient is φ = 37231360.

The previous prime is 100600867. The next prime is 100600909. The reversal of 100600900 is 9006001.

The square root of 100600900 is 10030.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2353156 + 98247744 = 1534^2 + 9912^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100600909) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1705071 + ... + 1705129.

Almost surely, 2^100600900 is an apocalyptic number.

100600900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100600900 is the 10030-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100600900

100600900 is an abundant number, since it is smaller than the sum of its proper divisors (135296979).

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

100600900 is a wasteful number, since it uses less digits than its factorization.

100600900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The cubic root of 100600900 is about 465.0867375869.

Multiplying 100600900 by its sum of digits (16), we get a square (1609614400 = 40120²).

Adding to 100600900 its reverse (9006001), we get a palindrome (109606901).

Multiplying 100600900 by its reverse (9006001), we get a square (906011806000900 = 30100030²).

The spelling of 100600900 in words is "one hundred million, six hundred thousand, nine hundred".