101605342514424 has 32 divisors (see below), whose sum is σ = 290300978613120. Its totient is φ = 29030097861216.

The previous prime is 101605342514387. The next prime is 101605342514449. The reversal of 101605342514424 is 424415243506101.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 7 ways as a sum of consecutive naturals, for example, 302396852554 + ... + 302396852889.

It is an arithmetic number, because the mean of its divisors is an integer number (9071905581660).

Almost surely, 2^{101605342514424} is an apocalyptic number.

101605342514424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

101605342514424 is an abundant number, since it is smaller than the sum of its proper divisors (188695636098696).

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

101605342514424 is a wasteful number, since it uses less digits than its factorization.

101605342514424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604793705459 (or 604793705455 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 101605342514424 in words is "one hundred one trillion, six hundred five billion, three hundred forty-two million, five hundred fourteen thousand, four hundred twenty-four".