102964561 has 8 divisors (see below), whose sum is σ = 118754240. Its totient is φ = 87445008.

The previous prime is 102964483. The next prime is 102964567. The reversal of 102964561 is 165469201.

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

It is not a de Polignac number, because 102964561 - 2⁹ = 102964049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102964567) 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, 66711 + ... + 68236.

It is an arithmetic number, because the mean of its divisors is an integer number (14844280).

Almost surely, 2^102964561 is an apocalyptic number.

It is an amenable number.

102964561 is a deficient number, since it is larger than the sum of its proper divisors (15789679).

102964561 is a wasteful number, since it uses less digits than its factorization.

102964561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135063.

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 102964561 is about 10147.1454606702. The cubic root of 102964561 is about 468.7010474272.

The spelling of 102964561 in words is "one hundred two million, nine hundred sixty-four thousand, five hundred sixty-one".