103906958760 has 320 divisors, whose sum is σ = 381627417600. Its totient is φ = 25147584000.

The previous prime is 103906958741. The next prime is 103906958767. The reversal of 103906958760 is 67859609301.

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

It is a junction number, because it is equal to n+sod(n) for n = 103906958697 and 103906958706.

It is not an unprimeable number, because it can be changed into a prime (103906958767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24981561 + ... + 24985719.

It is an arithmetic number, because the mean of its divisors is an integer number (1192585680).

Almost surely, 2^103906958760 is an apocalyptic number.

103906958760 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 103906958760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190813708800).

103906958760 is an abundant number, since it is smaller than the sum of its proper divisors (277720458840).

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

103906958760 is a wasteful number, since it uses less digits than its factorization.

103906958760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4894 (or 4881 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 103906958760 in words is "one hundred three billion, nine hundred six million, nine hundred fifty-eight thousand, seven hundred sixty".