102007561 has 8 divisors (see below), whose sum is σ = 107942400. Its totient is φ = 96129360.

The previous prime is 102007537. The next prime is 102007571. The reversal of 102007561 is 165700201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 102007561 - 2¹⁵ = 101974793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102007501) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10426 + ... + 17683.

It is an arithmetic number, because the mean of its divisors is an integer number (13492800).

Almost surely, 2^102007561 is an apocalyptic number.

It is an amenable number.

102007561 is a deficient number, since it is larger than the sum of its proper divisors (5934839).

102007561 is a wasteful number, since it uses less digits than its factorization.

102007561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28319.

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 102007561 is about 10099.8792567040. The cubic root of 102007561 is about 467.2444174776.

Adding to 102007561 its reverse (165700201), we get a palindrome (267707762).

The spelling of 102007561 in words is "one hundred two million, seven thousand, five hundred sixty-one".