100003200 has 192 divisors, whose sum is σ = 359709120. Its totient is φ = 24217600.

The previous prime is 100003181. The next prime is 100003219. The reversal of 100003200 is 2300001.

It is an interprime number because it is at equal distance from previous prime (100003181) and next prime (100003219).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (6).

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 23 ways as a sum of consecutive naturals, for example, 105127 + ... + 106073.

It is an arithmetic number, because the mean of its divisors is an integer number (1873485).

Almost surely, 2^100003200 is an apocalyptic number.

100003200 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 100003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179854560).

100003200 is an abundant number, since it is smaller than the sum of its proper divisors (259705920).

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

100003200 is a wasteful number, since it uses less digits than its factorization.

100003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 100003200 is about 10000.1599987200. The cubic root of 100003200 is about 464.1638343366.

Adding to 100003200 its reverse (2300001), we get a palindrome (102303201).

The spelling of 100003200 in words is "one hundred million, three thousand, two hundred".