102956409 has 24 divisors (see below), whose sum is σ = 154594440. Its totient is φ = 65947392.

The previous prime is 102956407. The next prime is 102956411. The reversal of 102956409 is 904659201.

102956409 is a `hidden beast` number, since 1 + 0 + 2 + 9 + 5 + 640 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (102956407) and next prime (102956411).

It can be written as a sum of positive squares in 4 ways, for example, as 3515625 + 99440784 = 1875^2 + 9972^2 .

It is not a de Polignac number, because 102956409 - 2¹ = 102956407 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102956401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59967 + ... + 61659.

It is an arithmetic number, because the mean of its divisors is an integer number (6441435).

Almost surely, 2^102956409 is an apocalyptic number.

It is an amenable number.

102956409 is a deficient number, since it is larger than the sum of its proper divisors (51638031).

102956409 is a wasteful number, since it uses less digits than its factorization.

102956409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1961 (or 1958 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 102956409 is about 10146.7437633952. The cubic root of 102956409 is about 468.6886776314.

The spelling of 102956409 in words is "one hundred two million, nine hundred fifty-six thousand, four hundred nine".