10164403200 has 792 divisors, whose sum is σ = 40684567152. Its totient is φ = 2229534720.

The previous prime is 10164403157. The next prime is 10164403219. The reversal of 10164403200 is 230446101.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 139238364 + ... + 139238436.

Almost surely, 2^10164403200 is an apocalyptic number.

10164403200 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 10164403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20342283576).

10164403200 is an abundant number, since it is smaller than the sum of its proper divisors (30520163952).

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

10164403200 is a wasteful number, since it uses less digits than its factorization.

10164403200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10164403200 its reverse (230446101), we get a palindrome (10394849301).

The spelling of 10164403200 in words is "ten billion, one hundred sixty-four million, four hundred three thousand, two hundred".