101545561 has 16 divisors (see below), whose sum is σ = 112564368. Its totient is φ = 91008000.

The previous prime is 101545547. The next prime is 101545579. The reversal of 101545561 is 165545101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 28955161 + 72590400 = 5381^2 + 8520^2 .

It is a cyclic number.

It is not a de Polignac number, because 101545561 - 2⁹ = 101545049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101545511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168661 + ... + 169261.

It is an arithmetic number, because the mean of its divisors is an integer number (7035273).

Almost surely, 2^101545561 is an apocalyptic number.

It is an amenable number.

101545561 is a deficient number, since it is larger than the sum of its proper divisors (11018807).

101545561 is a wasteful number, since it uses less digits than its factorization.

101545561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972.

The product of its (nonzero) digits is 3000, while the sum is 28.

The square root of 101545561 is about 10076.9817405809. The cubic root of 101545561 is about 466.5379546958.

The spelling of 101545561 in words is "one hundred one million, five hundred forty-five thousand, five hundred sixty-one".