102197054740800 has 336 divisors, whose sum is σ = 337991928739200. Its totient is φ = 27033638461440.

The previous prime is 102197054740723. The next prime is 102197054740819. The reversal of 102197054740800 is 8047450791201.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 102197054740800.

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, 451293202 + ... + 451519598.

Almost surely, 2^{102197054740800} is an apocalyptic number.

102197054740800 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 102197054740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168995964369600).

102197054740800 is an abundant number, since it is smaller than the sum of its proper divisors (235794873998400).

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

102197054740800 is a wasteful number, since it uses less digits than its factorization.

102197054740800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227178 (or 227163 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 48.

The spelling of 102197054740800 in words is "one hundred two trillion, one hundred ninety-seven billion, fifty-four million, seven hundred forty thousand, eight hundred".