100535161535000 has 320 divisors, whose sum is σ = 239033810695680. Its totient is φ = 39624963840000.

The previous prime is 100535161534991. The next prime is 100535161535059. The reversal of 100535161535000 is 535161535001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 127744804607 + ... + 127744805393.

It is an arithmetic number, because the mean of its divisors is an integer number (746980658424).

Almost surely, 2^{100535161535000} is an apocalyptic number.

100535161535000 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 100535161535000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119516905347840).

100535161535000 is an abundant number, since it is smaller than the sum of its proper divisors (138498649160680).

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

100535161535000 is a wasteful number, since it uses less digits than its factorization.

100535161535000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1964 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 33750, while the sum is 35.

Subtracting from 100535161535000 its reverse (535161535001), we obtain a palindrome (99999999999999).

The spelling of 100535161535000 in words is "one hundred trillion, five hundred thirty-five billion, one hundred sixty-one million, five hundred thirty-five thousand".