10364100 has 72 divisors (see below), whose sum is σ = 30310560. Its totient is φ = 2734080.

The previous prime is 10364077. The next prime is 10364113. The reversal of 10364100 is 146301.

It is a super-3 number, since 3×10364100³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10364100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53604 + ... + 53796.

It is an arithmetic number, because the mean of its divisors is an integer number (420980).

Almost surely, 2^10364100 is an apocalyptic number.

10364100 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 10364100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15155280).

10364100 is an abundant number, since it is smaller than the sum of its proper divisors (19946460).

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

10364100 is a wasteful number, since it uses less digits than its factorization.

10364100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 10364100 is about 3219.3322288947. The cubic root of 10364100 is about 218.0271267761.

The spelling of 10364100 in words is "ten million, three hundred sixty-four thousand, one hundred".