102406122349 has 16 divisors (see below), whose sum is σ = 105914188800. Its totient is φ = 98955025200.

The previous prime is 102406122337. The next prime is 102406122353. The reversal of 102406122349 is 943221604201.

It is a cyclic number.

It is not a de Polignac number, because 102406122349 - 2¹³ = 102406114157 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102406122149) 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, 6620074 + ... + 6635524.

It is an arithmetic number, because the mean of its divisors is an integer number (6619636800).

Almost surely, 2^102406122349 is an apocalyptic number.

It is an amenable number.

102406122349 is a deficient number, since it is larger than the sum of its proper divisors (3508066451).

102406122349 is a wasteful number, since it uses less digits than its factorization.

102406122349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17280.

The product of its (nonzero) digits is 20736, while the sum is 34.

The spelling of 102406122349 in words is "one hundred two billion, four hundred six million, one hundred twenty-two thousand, three hundred forty-nine".