102035743033168 has 80 divisors (see below), whose sum is σ = 235822312763136. Its totient is φ = 41817191454720.

The previous prime is 102035743033129. The next prime is 102035743033181. The reversal of 102035743033168 is 861330347530201.

It is a super-2 number, since 2×102035743033168² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 4422430 + ... + 14954242.

Almost surely, 2^{102035743033168} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102035743033168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117911156381568).

102035743033168 is an abundant number, since it is smaller than the sum of its proper divisors (133786569729968).

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

102035743033168 is a wasteful number, since it uses less digits than its factorization.

102035743033168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10535612 (or 10535606 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 46.

The spelling of 102035743033168 in words is "one hundred two trillion, thirty-five billion, seven hundred forty-three million, thirty-three thousand, one hundred sixty-eight".