102141312 has 256 divisors, whose sum is σ = 347289600. Its totient is φ = 25878528.

The previous prime is 102141307. The next prime is 102141323. The reversal of 102141312 is 213141201.

It is a junction number, because it is equal to n+sod(n) for n = 102141291 and 102141300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1292889 + ... + 1292967.

It is an arithmetic number, because the mean of its divisors is an integer number (1356600).

Almost surely, 2^102141312 is an apocalyptic number.

102141312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102141312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173644800).

102141312 is an abundant number, since it is smaller than the sum of its proper divisors (245148288).

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

102141312 is a wasteful number, since it uses less digits than its factorization.

102141312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 102141312 is about 10106.4985034383. The cubic root of 102141312 is about 467.4485432417.

Adding to 102141312 its reverse (213141201), we get a palindrome (315282513).

The spelling of 102141312 in words is "one hundred two million, one hundred forty-one thousand, three hundred twelve".