1029102309018 has 384 divisors, whose sum is σ = 2879944704000. Its totient is φ = 268772152320.

The previous prime is 1029102308933. The next prime is 1029102309041. The reversal of 1029102309018 is 8109032019201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1019922498 + ... + 1019923506.

It is an arithmetic number, because the mean of its divisors is an integer number (7499856000).

Almost surely, 2^{1029102309018} is an apocalyptic number.

1029102309018 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1029102309018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439972352000).

1029102309018 is an abundant number, since it is smaller than the sum of its proper divisors (1850842394982).

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

1029102309018 is a wasteful number, since it uses less digits than its factorization.

1029102309018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1592 (or 1580 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 1029102309018 in words is "one trillion, twenty-nine billion, one hundred two million, three hundred nine thousand, eighteen".