102106311734 has 32 divisors (see below), whose sum is σ = 185375955456. Its totient is φ = 41232502080.

The previous prime is 102106311731. The next prime is 102106311737. The reversal of 102106311734 is 437113601201.

It is an interprime number because it is at equal distance from previous prime (102106311731) and next prime (102106311737).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102106311697 and 102106311706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102106311731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2344847 + ... + 2387994.

It is an arithmetic number, because the mean of its divisors is an integer number (5792998608).

Almost surely, 2^102106311734 is an apocalyptic number.

102106311734 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

102106311734 is a deficient number, since it is larger than the sum of its proper divisors (83269643722).

102106311734 is a wasteful number, since it uses less digits than its factorization.

102106311734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4732940.

The product of its (nonzero) digits is 3024, while the sum is 29.

Adding to 102106311734 its reverse (437113601201), we get a palindrome (539219912935).

The spelling of 102106311734 in words is "one hundred two billion, one hundred six million, three hundred eleven thousand, seven hundred thirty-four".