102927411288 has 128 divisors (see below), whose sum is σ = 308086732800. Its totient is φ = 31651026048.

The previous prime is 102927411283. The next prime is 102927411313. The reversal of 102927411288 is 882114729201.

102927411288 is a `hidden beast` number, since 1 + 0 + 292 + 74 + 11 + 288 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102927411281) 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, 5108931 + ... + 5129037.

It is an arithmetic number, because the mean of its divisors is an integer number (2406927600).

Almost surely, 2^102927411288 is an apocalyptic number.

102927411288 is a gapful number since it is divisible by the number (18) 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 102927411288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154043366400).

102927411288 is an abundant number, since it is smaller than the sum of its proper divisors (205159321512).

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

102927411288 is a wasteful number, since it uses less digits than its factorization.

102927411288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21958 (or 21948 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 102927411288 in words is "one hundred two billion, nine hundred twenty-seven million, four hundred eleven thousand, two hundred eighty-eight".