102854411800 has 96 divisors (see below), whose sum is σ = 273746988000. Its totient is φ = 35206548480.

The previous prime is 102854411797. The next prime is 102854411801. The reversal of 102854411800 is 8114458201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102854411801) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 798276 + ... + 918124.

It is an arithmetic number, because the mean of its divisors is an integer number (2851531125).

Almost surely, 2^102854411800 is an apocalyptic number.

102854411800 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 102854411800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136873494000).

102854411800 is an abundant number, since it is smaller than the sum of its proper divisors (170892576200).

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

102854411800 is a wasteful number, since it uses less digits than its factorization.

102854411800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120485 (or 120476 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 34.

The spelling of 102854411800 in words is "one hundred two billion, eight hundred fifty-four million, four hundred eleven thousand, eight hundred".