100291200 has 192 divisors, whose sum is σ = 342001920. Its totient is φ = 25804800.

The previous prime is 100291189. The next prime is 100291223. The reversal of 100291200 is 2192001.

It is a happy number.

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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100291200.

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, 297432 + ... + 297768.

It is an arithmetic number, because the mean of its divisors is an integer number (1781260).

Almost surely, 2^100291200 is an apocalyptic number.

100291200 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 100291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171000960).

100291200 is an abundant number, since it is smaller than the sum of its proper divisors (241710720).

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

100291200 is a wasteful number, since it uses less digits than its factorization.

100291200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 100291200 is about 10014.5494157251. The cubic root of 100291200 is about 464.6089902959.

The spelling of 100291200 in words is "one hundred million, two hundred ninety-one thousand, two hundred".