100685403000 has 1024 divisors, whose sum is σ = 440042803200. Its totient is φ = 20727705600.

The previous prime is 100685402941. The next prime is 100685403031. The reversal of 100685403000 is 304586001.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 105650524 + ... + 105651476.

It is an arithmetic number, because the mean of its divisors is an integer number (429729300).

Almost surely, 2^100685403000 is an apocalyptic number.

100685403000 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 100685403000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220021401600).

100685403000 is an abundant number, since it is smaller than the sum of its proper divisors (339357400200).

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

100685403000 is a wasteful number, since it uses less digits than its factorization.

100685403000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 100685403000 its reverse (304586001), we get a palindrome (100989989001).

The spelling of 100685403000 in words is "one hundred billion, six hundred eighty-five million, four hundred three thousand".