10270000 has 100 divisors (see below), whose sum is σ = 27116320. Its totient is φ = 3744000.

The previous prime is 10269997. The next prime is 10270009. The reversal of 10270000 is 7201.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (10270009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 129961 + ... + 130039.

Almost surely, 2^10270000 is an apocalyptic number.

10270000 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 10270000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13558160).

10270000 is an abundant number, since it is smaller than the sum of its proper divisors (16846320).

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

10270000 is an equidigital number, since it uses as much as digits as its factorization.

10270000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 10.

The square root of 10270000 is about 3204.6840717924. The cubic root of 10270000 is about 217.3652664467.

Adding to 10270000 its reverse (7201), we get a palindrome (10277201).

The spelling of 10270000 in words is "ten million, two hundred seventy thousand".