103928558832 has 240 divisors, whose sum is σ = 347283218880. Its totient is φ = 28385280000.

The previous prime is 103928558819. The next prime is 103928558837. The reversal of 103928558832 is 238855829301.

103928558832 is a `hidden beast` number, since 1 + 0 + 3 + 9 + 2 + 8 + 558 + 83 + 2 = 666.

It is a super-2 number, since 2×103928558832² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103928558837) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2934832 + ... + 2970032.

It is an arithmetic number, because the mean of its divisors is an integer number (1447013412).

Almost surely, 2^103928558832 is an apocalyptic number.

103928558832 is a gapful number since it is divisible by the number (12) 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 103928558832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173641609440).

103928558832 is an abundant number, since it is smaller than the sum of its proper divisors (243354660048).

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

103928558832 is a wasteful number, since it uses less digits than its factorization.

103928558832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35352 (or 35343 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 103928558832 in words is "one hundred three billion, nine hundred twenty-eight million, five hundred fifty-eight thousand, eight hundred thirty-two".