102888862243200 has 1920 divisors, whose sum is σ = 420482658816000. Its totient is φ = 24567382425600.

The previous prime is 102888862243187. The next prime is 102888862243207. The reversal of 102888862243200 is 2342268888201.

102888862243200 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 8 + 8 + 8 + 622 + 4 + 3 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×102888862243200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102888862243207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 53953256647 + ... + 53953258553.

It is an arithmetic number, because the mean of its divisors is an integer number (219001384800).

Almost surely, 2^{102888862243200} is an apocalyptic number.

102888862243200 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 102888862243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210241329408000).

102888862243200 is an abundant number, since it is smaller than the sum of its proper divisors (317593796572800).

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

102888862243200 is a wasteful number, since it uses less digits than its factorization.

102888862243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2230 (or 2204 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 102888862243200 in words is "one hundred two trillion, eight hundred eighty-eight billion, eight hundred sixty-two million, two hundred forty-three thousand, two hundred".