10132100 has 72 divisors (see below), whose sum is σ = 24540096. Its totient is φ = 3600000.

The previous prime is 10132099. The next prime is 10132103. The reversal of 10132100 is 123101.

It is not an unprimeable number, because it can be changed into a prime (10132103) 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, 67025 + ... + 67175.

Almost surely, 2^10132100 is an apocalyptic number.

10132100 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 10132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12270048).

10132100 is an abundant number, since it is smaller than the sum of its proper divisors (14407996).

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

10132100 is a wasteful number, since it uses less digits than its factorization.

10132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 10132100 is about 3183.0959771895. The cubic root of 10132100 is about 216.3879914935.

Adding to 10132100 its reverse (123101), we get a palindrome (10255201).

It can be divided in two parts, 1013 and 2100, that added together give a palindrome (3113).

The spelling of 10132100 in words is "ten million, one hundred thirty-two thousand, one hundred".