100456200 has 336 divisors, whose sum is σ = 384233220. Its totient is φ = 24261120.

The previous prime is 100456199. The next prime is 100456217. The reversal of 100456200 is 2654001.

It is a happy number.

100456200 is a `hidden beast` number, since 1 + 0 + 0 + 45 + 620 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 28579716 + 71876484 = 5346^2 + 8478^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1895374 + ... + 1895426.

Almost surely, 2^100456200 is an apocalyptic number.

100456200 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 100456200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192116610).

100456200 is an abundant number, since it is smaller than the sum of its proper divisors (283777020).

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

100456200 is a wasteful number, since it uses less digits than its factorization.

100456200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 100456200 is about 10022.7840443661. The cubic root of 100456200 is about 464.8636436817.

The spelling of 100456200 in words is "one hundred million, four hundred fifty-six thousand, two hundred".