101005323516 has 192 divisors, whose sum is σ = 276718632960. Its totient is φ = 31823124480.

The previous prime is 101005323509. The next prime is 101005323563. The reversal of 101005323516 is 615323500101.

101005323516 is a `hidden beast` number, since 10 + 100 + 5 + 32 + 3 + 516 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 101005323516.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24179220 + ... + 24183396.

It is an arithmetic number, because the mean of its divisors is an integer number (1441242880).

Almost surely, 2^101005323516 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 101005323516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138359316480).

101005323516 is an abundant number, since it is smaller than the sum of its proper divisors (175713309444).

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

101005323516 is a wasteful number, since it uses less digits than its factorization.

101005323516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4401 (or 4393 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 101005323516 its reverse (615323500101), we get a palindrome (716328823617).

The spelling of 101005323516 in words is "one hundred one billion, five million, three hundred twenty-three thousand, five hundred sixteen".