103779887904 has 648 divisors, whose sum is σ = 391504551984. Its totient is φ = 26943840000.

The previous prime is 103779887899. The next prime is 103779887923. The reversal of 103779887904 is 409788977301.

103779887904 is a `hidden beast` number, since 10 + 377 + 98 + 87 + 90 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-4 number, since 4×103779887904⁴ (a number of 45 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 46102779 + ... + 46105029.

Almost surely, 2^103779887904 is an apocalyptic number.

103779887904 is a gapful number since it is divisible by the number (14) 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 103779887904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195752275992).

103779887904 is an abundant number, since it is smaller than the sum of its proper divisors (287724664080).

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

103779887904 is a wasteful number, since it uses less digits than its factorization.

103779887904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2312 (or 2274 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 63.

The spelling of 103779887904 in words is "one hundred three billion, seven hundred seventy-nine million, eight hundred eighty-seven thousand, nine hundred four".