102897688867200 has 384 divisors, whose sum is σ = 376603489956000. Its totient is φ = 27437450526720.

The previous prime is 102897688867159. The next prime is 102897688867213. The reversal of 102897688867200 is 2768886798201.

102897688867200 is a `hidden beast` number, since 1 + 0 + 289 + 7 + 6 + 8 + 88 + 67 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×102897688867200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1563547896 + ... + 1563613704.

Almost surely, 2^{102897688867200} is an apocalyptic number.

102897688867200 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 102897688867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188301744978000).

102897688867200 is an abundant number, since it is smaller than the sum of its proper divisors (273705801088800).

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

102897688867200 is a wasteful number, since it uses less digits than its factorization.

102897688867200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83939 (or 83916 counting only the distinct ones).

The product of its (nonzero) digits is 260112384, while the sum is 72.

The spelling of 102897688867200 in words is "one hundred two trillion, eight hundred ninety-seven billion, six hundred eighty-eight million, eight hundred sixty-seven thousand, two hundred".