103518610128 has 120 divisors (see below), whose sum is σ = 302490639360. Its totient is φ = 32985596160.

The previous prime is 103518610127. The next prime is 103518610147. The reversal of 103518610128 is 821016815301.

103518610128 is a `hidden beast` number, since 1 + 0 + 3 + 5 + 18 + 610 + 1 + 28 = 666.

It is a super-2 number, since 2×103518610128² (a number of 23 digits) contains 22 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 = 103518610092 and 103518610101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103518610121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5916433 + ... + 5933903.

It is an arithmetic number, because the mean of its divisors is an integer number (2520755328).

Almost surely, 2^103518610128 is an apocalyptic number.

103518610128 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 103518610128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151245319680).

103518610128 is an abundant number, since it is smaller than the sum of its proper divisors (198972029232).

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

103518610128 is a wasteful number, since it uses less digits than its factorization.

103518610128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19297 (or 19288 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 103518610128 in words is "one hundred three billion, five hundred eighteen million, six hundred ten thousand, one hundred twenty-eight".