102605061251 has 16 divisors (see below), whose sum is σ = 127936370688. Its totient is φ = 79943760000.

The previous prime is 102605061227. The next prime is 102605061271. The reversal of 102605061251 is 152160506201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 102605061251 - 2⁶ = 102605061187 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102605061271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 746126 + ... + 872876.

It is an arithmetic number, because the mean of its divisors is an integer number (7996023168).

Almost surely, 2^102605061251 is an apocalyptic number.

102605061251 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102605061251 is a deficient number, since it is larger than the sum of its proper divisors (25331309437).

102605061251 is a wasteful number, since it uses less digits than its factorization.

102605061251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137282.

The product of its (nonzero) digits is 3600, while the sum is 29.

Adding to 102605061251 its reverse (152160506201), we get a palindrome (254765567452).

The spelling of 102605061251 in words is "one hundred two billion, six hundred five million, sixty-one thousand, two hundred fifty-one".