101505665500 has 96 divisors (see below), whose sum is σ = 234912944448. Its totient is φ = 38183936000.

The previous prime is 101505665491. The next prime is 101505665507. The reversal of 101505665500 is 5566505101.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101505665507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12941580 + ... + 12949420.

It is an arithmetic number, because the mean of its divisors is an integer number (2447009838).

Almost surely, 2^101505665500 is an apocalyptic number.

101505665500 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 101505665500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117456472224).

101505665500 is an abundant number, since it is smaller than the sum of its proper divisors (133407278948).

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

101505665500 is a wasteful number, since it uses less digits than its factorization.

101505665500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9400 (or 9388 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 34.

The spelling of 101505665500 in words is "one hundred one billion, five hundred five million, six hundred sixty-five thousand, five hundred".