101516232028005 has 48 divisors (see below), whose sum is σ = 177264200805120. Its totient is φ = 53741231610624.

The previous prime is 101516232027949. The next prime is 101516232028009. The reversal of 101516232028005 is 500820232615101.

101516232028005 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 1 + 623 + 2 + 0 + 28 + 0 + 0 + 5 = 666.

It is not a de Polignac number, because 101516232028005 - 2¹⁹ = 101516231503717 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101516232028009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59070504 + ... + 60764766.

It is an arithmetic number, because the mean of its divisors is an integer number (3693004183440).

Almost surely, 2^{101516232028005} is an apocalyptic number.

101516232028005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101516232028005 is a deficient number, since it is larger than the sum of its proper divisors (75747968777115).

101516232028005 is a wasteful number, since it uses less digits than its factorization.

101516232028005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1704130 (or 1704127 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 101516232028005 in words is "one hundred one trillion, five hundred sixteen billion, two hundred thirty-two million, twenty-eight thousand, five".