103275047651328 has 336 divisors, whose sum is σ = 353837601411840. Its totient is φ = 29507153485824.

The previous prime is 103275047651311. The next prime is 103275047651351. The reversal of 103275047651328 is 823156740572301.

103275047651328 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 7 + 50 + 4 + 76 + 513 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 5510001 + ... + 15391887.

It is an arithmetic number, because the mean of its divisors is an integer number (1053088099440).

Almost surely, 2^{103275047651328} is an apocalyptic number.

103275047651328 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 103275047651328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176918800705920).

103275047651328 is an abundant number, since it is smaller than the sum of its proper divisors (250562553760512).

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

103275047651328 is an frugal number, since it uses more digits than its factorization.

103275047651328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9881934 (or 9881899 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 103275047651328 in words is "one hundred three trillion, two hundred seventy-five billion, forty-seven million, six hundred fifty-one thousand, three hundred twenty-eight".