10105200 has 180 divisors, whose sum is σ = 40177488. Its totient is φ = 2304000.

The previous prime is 10105189. The next prime is 10105213. The reversal of 10105200 is 250101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25000 + ... + 25400.

Almost surely, 2^10105200 is an apocalyptic number.

10105200 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 10105200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20088744).

10105200 is an abundant number, since it is smaller than the sum of its proper divisors (30072288).

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

10105200 is a wasteful number, since it uses less digits than its factorization.

10105200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 10105200 is about 3178.8677229479. The cubic root of 10105200 is about 216.1963235640.

Adding to 10105200 its reverse (250101), we get a palindrome (10355301).

The spelling of 10105200 in words is "ten million, one hundred five thousand, two hundred".