103128655680 has 392 divisors, whose sum is σ = 369302778792. Its totient is φ = 27418300416.

The previous prime is 103128655661. The next prime is 103128655697. The reversal of 103128655680 is 86556821301.

103128655680 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 2 + 86 + 5 + 568 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 26806857984 + 76321797696 = 163728^2 + 276264^2 .

It is a super-3 number, since 3×103128655680³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 152331502 + ... + 152332178.

Almost surely, 2^103128655680 is an apocalyptic number.

103128655680 is a gapful number since it is divisible by the number (10) 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 103128655680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184651389396).

103128655680 is an abundant number, since it is smaller than the sum of its proper divisors (266174123112).

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

103128655680 is an frugal number, since it uses more digits than its factorization.

103128655680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 103128655680 in words is "one hundred three billion, one hundred twenty-eight million, six hundred fifty-five thousand, six hundred eighty".