101535345 has 12 divisors (see below), whose sum is σ = 175994676. Its totient is φ = 54152160.

The previous prime is 101535307. The next prime is 101535347. The reversal of 101535345 is 543535101.

It can be written as a sum of positive squares in 2 ways, for example, as 72795024 + 28740321 = 8532^2 + 5361^2 .

It is not a de Polignac number, because 101535345 - 2⁸ = 101535089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101535347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1128126 + ... + 1128215.

It is an arithmetic number, because the mean of its divisors is an integer number (14666223).

Almost surely, 2^101535345 is an apocalyptic number.

101535345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101535345 is a deficient number, since it is larger than the sum of its proper divisors (74459331).

101535345 is a wasteful number, since it uses less digits than its factorization.

101535345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2256352 (or 2256349 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 101535345 is about 10076.4748300187. The cubic root of 101535345 is about 466.5223088072.

The spelling of 101535345 in words is "one hundred one million, five hundred thirty-five thousand, three hundred forty-five".