103128461280 has 576 divisors, whose sum is σ = 395305118208. Its totient is φ = 25239029760.

The previous prime is 103128461263. The next prime is 103128461299. The reversal of 103128461280 is 82164821301.

103128461280 is a `hidden beast` number, since 1 + 0 + 31 + 2 + 8 + 4 + 612 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 106647357 + ... + 106648323.

It is an arithmetic number, because the mean of its divisors is an integer number (686293608).

Almost surely, 2^103128461280 is an apocalyptic number.

103128461280 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 103128461280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197652559104).

103128461280 is an abundant number, since it is smaller than the sum of its proper divisors (292176656928).

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

103128461280 is a wasteful number, since it uses less digits than its factorization.

103128461280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 103128461280 in words is "one hundred three billion, one hundred twenty-eight million, four hundred sixty-one thousand, two hundred eighty".