102134342310 has 256 divisors, whose sum is σ = 338014107648. Its totient is φ = 19060531200.

The previous prime is 102134342287. The next prime is 102134342327. The reversal of 102134342310 is 13243431201.

It is a happy number.

102134342310 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102134342310² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1065150 + ... + 1157070.

It is an arithmetic number, because the mean of its divisors is an integer number (1320367608).

Almost surely, 2^102134342310 is an apocalyptic number.

102134342310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102134342310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169007053824).

102134342310 is an abundant number, since it is smaller than the sum of its proper divisors (235879765338).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102134342310 is a wasteful number, since it uses less digits than its factorization.

102134342310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91999.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 102134342310 its reverse (13243431201), we get a palindrome (115377773511).

It can be divided in two parts, 102134 and 342310, that added together give a palindrome (444444).

The spelling of 102134342310 in words is "one hundred two billion, one hundred thirty-four million, three hundred forty-two thousand, three hundred ten".