102861227700 has 720 divisors, whose sum is σ = 420932058624. Its totient is φ = 21105619200.

The previous prime is 102861227699. The next prime is 102861227717. The reversal of 102861227700 is 7722168201.

102861227700 is a `hidden beast` number, since 10 + 2 + 8 + 612 + 27 + 7 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 239 ways as a sum of consecutive naturals, for example, 51766107 + ... + 51768093.

Almost surely, 2^102861227700 is an apocalyptic number.

102861227700 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 102861227700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210466029312).

102861227700 is an abundant number, since it is smaller than the sum of its proper divisors (318070830924).

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

102861227700 is a wasteful number, since it uses less digits than its factorization.

102861227700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2114 (or 2098 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 102861227700 in words is "one hundred two billion, eight hundred sixty-one million, two hundred twenty-seven thousand, seven hundred".