102754311132 has 96 divisors (see below), whose sum is σ = 270726624000. Its totient is φ = 30047180800.

The previous prime is 102754311071. The next prime is 102754311139. The reversal of 102754311132 is 231113457201.

It is a self number, because there is not a number n which added to its sum of digits gives 102754311132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102754311139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7959619 + ... + 7972517.

It is an arithmetic number, because the mean of its divisors is an integer number (2820069000).

Almost surely, 2^102754311132 is an apocalyptic number.

102754311132 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 102754311132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135363312000).

102754311132 is an abundant number, since it is smaller than the sum of its proper divisors (167972312868).

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

102754311132 is a wasteful number, since it uses less digits than its factorization.

102754311132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15027 (or 15025 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

Adding to 102754311132 its reverse (231113457201), we get a palindrome (333867768333).

The spelling of 102754311132 in words is "one hundred two billion, seven hundred fifty-four million, three hundred eleven thousand, one hundred thirty-two".