103128091146288 has 240 divisors, whose sum is σ = 328410009476640. Its totient is φ = 31133007839232.

The previous prime is 103128091146271. The next prime is 103128091146419. The reversal of 103128091146288 is 882641190821301.

103128091146288 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 2 + 8 + 0 + 9 + 1 + 1 + 4 + 628 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16569873 + ... + 21927536.

It is an arithmetic number, because the mean of its divisors is an integer number (1368375039486).

Almost surely, 2^{103128091146288} is an apocalyptic number.

103128091146288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

103128091146288 is an abundant number, since it is smaller than the sum of its proper divisors (225281918330352).

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

103128091146288 is a wasteful number, since it uses less digits than its factorization.

103128091146288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38497498 (or 38497480 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 103128091146288 in words is "one hundred three trillion, one hundred twenty-eight billion, ninety-one million, one hundred forty-six thousand, two hundred eighty-eight".