102981473667072 has 1728 divisors, whose sum is σ = 417295955905920. Its totient is φ = 24689548984320.

The previous prime is 102981473667043. The next prime is 102981473667073. The reversal of 102981473667072 is 270766374189201.

102981473667072 is a `hidden beast` number, since 1 + 0 + 2 + 98 + 1 + 473 + 6 + 6 + 7 + 0 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (102981473667073) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 5479768908 + ... + 5479787700.

Almost surely, 2^{102981473667072} is an apocalyptic number.

102981473667072 is a gapful number since it is divisible by the number (12) 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 102981473667072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208647977952960).

102981473667072 is an abundant number, since it is smaller than the sum of its proper divisors (314314482238848).

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

102981473667072 is a wasteful number, since it uses less digits than its factorization.

102981473667072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18872 (or 18829 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 102981473667072 in words is "one hundred two trillion, nine hundred eighty-one billion, four hundred seventy-three million, six hundred sixty-seven thousand, seventy-two".