103918877100 has 504 divisors, whose sum is σ = 353665332720. Its totient is φ = 26465149440.

The previous prime is 103918877093. The next prime is 103918877129. The reversal of 103918877100 is 1778819301.

It is a happy number.

103918877100 is a `hidden beast` number, since 10 + 391 + 88 + 77 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 159140374 + ... + 159141026.

It is an arithmetic number, because the mean of its divisors is an integer number (701716930).

Almost surely, 2^103918877100 is an apocalyptic number.

103918877100 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 103918877100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176832666360).

103918877100 is an abundant number, since it is smaller than the sum of its proper divisors (249746455620).

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

103918877100 is a wasteful number, since it uses less digits than its factorization.

103918877100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 45.

The spelling of 103918877100 in words is "one hundred three billion, nine hundred eighteen million, eight hundred seventy-seven thousand, one hundred".