102543114646016 has 160 divisors (see below), whose sum is σ = 234165646725120. Its totient is φ = 44433698918400.

The previous prime is 102543114646013. The next prime is 102543114646061. The reversal of 102543114646016 is 610646411345201.

It is a super-2 number, since 2×102543114646016² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (102543114646013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7314605 + ... + 16080723.

It is an arithmetic number, because the mean of its divisors is an integer number (1463535292032).

Almost surely, 2^{102543114646016} is an apocalyptic number.

102543114646016 is a gapful number since it is divisible by the number (16) 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 102543114646016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117082823362560).

102543114646016 is an abundant number, since it is smaller than the sum of its proper divisors (131622532079104).

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

102543114646016 is an equidigital number, since it uses as much as digits as its factorization.

102543114646016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8766246 (or 8766230 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 44.

The spelling of 102543114646016 in words is "one hundred two trillion, five hundred forty-three billion, one hundred fourteen million, six hundred forty-six thousand, sixteen".