100963800 has 192 divisors, whose sum is σ = 397593600. Its totient is φ = 23068800.

The previous prime is 100963789. The next prime is 100963801. The reversal of 100963800 is 8369001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100963801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36465 + ... + 39135.

It is an arithmetic number, because the mean of its divisors is an integer number (2070800).

Almost surely, 2^100963800 is an apocalyptic number.

100963800 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 100963800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198796800).

100963800 is an abundant number, since it is smaller than the sum of its proper divisors (296629800).

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

100963800 is a wasteful number, since it uses less digits than its factorization.

100963800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2703 (or 2688 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 100963800 is about 10048.0744423994. The cubic root of 100963800 is about 465.6453059325.

The spelling of 100963800 in words is "one hundred million, nine hundred sixty-three thousand, eight hundred".