103257108354528 has 480 divisors, whose sum is σ = 311584435924608. Its totient is φ = 33529946112000.

The previous prime is 103257108354509. The next prime is 103257108354557. The reversal of 103257108354528 is 825453801752301.

103257108354528 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 5 + 7 + 10 + 83 + 545 + 2 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25451589876 + ... + 25451593932.

Almost surely, 2^{103257108354528} is an apocalyptic number.

103257108354528 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 103257108354528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155792217962304).

103257108354528 is an abundant number, since it is smaller than the sum of its proper divisors (208327327570080).

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

103257108354528 is a wasteful number, since it uses less digits than its factorization.

103257108354528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5048 (or 5031 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 103257108354528 in words is "one hundred three trillion, two hundred fifty-seven billion, one hundred eight million, three hundred fifty-four thousand, five hundred twenty-eight".