10072100 has 36 divisors (see below), whose sum is σ = 22331904. Its totient is φ = 3941280.

The previous prime is 10072099. The next prime is 10072123. The reversal of 10072100 is 127001.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3629 + ... + 5771.

Almost surely, 2^10072100 is an apocalyptic number.

10072100 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 10072100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11165952).

10072100 is an abundant number, since it is smaller than the sum of its proper divisors (12259804).

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

10072100 is a wasteful number, since it uses less digits than its factorization.

10072100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2204 (or 2197 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 11.

The square root of 10072100 is about 3173.6571963588. The cubic root of 10072100 is about 215.9600120305.

Adding to 10072100 its reverse (127001), we get a palindrome (10199101).

The spelling of 10072100 in words is "ten million, seventy-two thousand, one hundred".