101605615102300 has 144 divisors (see below), whose sum is σ = 222551098818048. Its totient is φ = 40263003590400.

The previous prime is 101605615102297. The next prime is 101605615102319. The reversal of 101605615102300 is 3201516506101.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 20902201870 + ... + 20902206730.

It is an arithmetic number, because the mean of its divisors is an integer number (1545493741792).

Almost surely, 2^{101605615102300} is an apocalyptic number.

101605615102300 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 101605615102300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111275549409024).

101605615102300 is an abundant number, since it is smaller than the sum of its proper divisors (120945483715748).

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

101605615102300 is a wasteful number, since it uses less digits than its factorization.

101605615102300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8996 (or 8989 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 31.

The spelling of 101605615102300 in words is "one hundred one trillion, six hundred five billion, six hundred fifteen million, one hundred two thousand, three hundred".