100471800 has 192 divisors, whose sum is σ = 366226560. Its totient is φ = 22464000.

The previous prime is 100471783. The next prime is 100471801. The reversal of 100471800 is 8174001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100471801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85215 + ... + 86385.

It is an arithmetic number, because the mean of its divisors is an integer number (1907430).

Almost surely, 2^100471800 is an apocalyptic number.

100471800 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 100471800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183113280).

100471800 is an abundant number, since it is smaller than the sum of its proper divisors (265754760).

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

100471800 is a wasteful number, since it uses less digits than its factorization.

100471800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 100471800 is about 10023.5622410399. The cubic root of 100471800 is about 464.8877055697.

The spelling of 100471800 in words is "one hundred million, four hundred seventy-one thousand, eight hundred".