206954471100 has 288 divisors, whose sum is σ = 657537914880. Its totient is φ = 49944960000.

The previous prime is 206954471099. The next prime is 206954471131. The reversal of 206954471100 is 1174459602.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 106075125 + ... + 106077075.

It is an arithmetic number, because the mean of its divisors is an integer number (2283117760).

Almost surely, 2^206954471100 is an apocalyptic number.

206954471100 is a gapful number since it is divisible by the number (20) 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 206954471100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328768957440).

206954471100 is an abundant number, since it is smaller than the sum of its proper divisors (450583443780).

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

206954471100 is a wasteful number, since it uses less digits than its factorization.

206954471100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2501 (or 2494 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 206954471100 in words is "two hundred six billion, nine hundred fifty-four million, four hundred seventy-one thousand, one hundred".