100463200 has 144 divisors (see below), whose sum is σ = 265764240. Its totient is φ = 36945920.

The previous prime is 100463197. The next prime is 100463227. The reversal of 100463200 is 2364001.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 1128756 + ... + 1128844.

It is an arithmetic number, because the mean of its divisors is an integer number (1845585).

Almost surely, 2^100463200 is an apocalyptic number.

100463200 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 100463200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132882120).

100463200 is an abundant number, since it is smaller than the sum of its proper divisors (165301040).

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

100463200 is a wasteful number, since it uses less digits than its factorization.

100463200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 100463200 is about 10023.1332426542. The cubic root of 100463200 is about 464.8744409908.

The spelling of 100463200 in words is "one hundred million, four hundred sixty-three thousand, two hundred".