103552102728 has 128 divisors (see below), whose sum is σ = 301476556800. Its totient is φ = 32870806848.

The previous prime is 103552102691. The next prime is 103552102729. The reversal of 103552102728 is 827201255301.

103552102728 is a `hidden beast` number, since 10 + 355 + 21 + 0 + 272 + 8 = 666.

It is a super-3 number, since 3×103552102728³ (a number of 34 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 103552102692 and 103552102701.

It is not an unprimeable number, because it can be changed into a prime (103552102729) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1081825 + ... + 1173647.

It is an arithmetic number, because the mean of its divisors is an integer number (2355285600).

Almost surely, 2^103552102728 is an apocalyptic number.

103552102728 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 103552102728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150738278400).

103552102728 is an abundant number, since it is smaller than the sum of its proper divisors (197924454072).

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

103552102728 is a wasteful number, since it uses less digits than its factorization.

103552102728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92088 (or 92078 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 103552102728 in words is "one hundred three billion, five hundred fifty-two million, one hundred two thousand, seven hundred twenty-eight".