102618997200 has 840 divisors, whose sum is σ = 396889740288. Its totient is φ = 25395793920.

The previous prime is 102618997181. The next prime is 102618997231. The reversal of 102618997200 is 2799816201.

102618997200 is a `hidden beast` number, since 1 + 0 + 2 + 618 + 9 + 9 + 7 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 629564319 + ... + 629564481.

Almost surely, 2^102618997200 is an apocalyptic number.

102618997200 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 102618997200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198444870144).

102618997200 is an abundant number, since it is smaller than the sum of its proper divisors (294270743088).

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

102618997200 is a wasteful number, since it uses less digits than its factorization.

102618997200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 102618997200 in words is "one hundred two billion, six hundred eighteen million, nine hundred ninety-seven thousand, two hundred".