101345521305 has 48 divisors (see below), whose sum is σ = 188675884224. Its totient is φ = 46317317760.

The previous prime is 101345521279. The next prime is 101345521309. The reversal of 101345521305 is 503125543101.

It is not a de Polignac number, because 101345521305 - 2⁷ = 101345521177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101345521309) 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, 3198390 + ... + 3229920.

It is an arithmetic number, because the mean of its divisors is an integer number (3930747588).

Almost surely, 2^101345521305 is an apocalyptic number.

101345521305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101345521305 is a deficient number, since it is larger than the sum of its proper divisors (87330362919).

101345521305 is a wasteful number, since it uses less digits than its factorization.

101345521305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35926 (or 35919 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The spelling of 101345521305 in words is "one hundred one billion, three hundred forty-five million, five hundred twenty-one thousand, three hundred five".