10264100 has 144 divisors (see below), whose sum is σ = 29331456. Its totient is φ = 3024000.

The previous prime is 10264097. The next prime is 10264109. The reversal of 10264100 is 146201.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10264109) 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 47 ways as a sum of consecutive naturals, for example, 238679 + ... + 238721.

Almost surely, 2^10264100 is an apocalyptic number.

10264100 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 10264100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14665728).

10264100 is an abundant number, since it is smaller than the sum of its proper divisors (19067356).

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

10264100 is a wasteful number, since it uses less digits than its factorization.

10264100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 10264100 is about 3203.7634119891. The cubic root of 10264100 is about 217.3236338360.

The spelling of 10264100 in words is "ten million, two hundred sixty-four thousand, one hundred".