102678659973120 has 2880 divisors, whose sum is σ = 432680624667648. Its totient is φ = 20332727500800.

The previous prime is 102678659973101. The next prime is 102678659973199. The reversal of 102678659973120 is 21379956876201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (66).

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 191 ways as a sum of consecutive naturals, for example, 452328898447 + ... + 452328898673.

Almost surely, 2^{102678659973120} is an apocalyptic number.

102678659973120 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 102678659973120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216340312333824).

102678659973120 is an abundant number, since it is smaller than the sum of its proper divisors (330001964694528).

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

102678659973120 is a wasteful number, since it uses less digits than its factorization.

102678659973120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 66.

It can be divided in two parts, 1026786 and 59973120, that added together give a palindrome (60999906).

The spelling of 102678659973120 in words is "one hundred two trillion, six hundred seventy-eight billion, six hundred fifty-nine million, nine hundred seventy-three thousand, one hundred twenty".