103966997904 has 480 divisors, whose sum is σ = 377885813760. Its totient is φ = 26883187200.

The previous prime is 103966997881. The next prime is 103966997929. The reversal of 103966997904 is 409799669301.

103966997904 is a `hidden beast` number, since 10 + 396 + 69 + 97 + 90 + 4 = 666.

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 95 ways as a sum of consecutive naturals, for example, 80531499 + ... + 80532789.

It is an arithmetic number, because the mean of its divisors is an integer number (787262112).

Almost surely, 2^103966997904 is an apocalyptic number.

103966997904 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 103966997904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188942906880).

103966997904 is an abundant number, since it is smaller than the sum of its proper divisors (273918815856).

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

103966997904 is a wasteful number, since it uses less digits than its factorization.

103966997904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1601 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 19840464, while the sum is 63.

It can be divided in two parts, 103966 and 997904, that added together give a triangular number (1101870 = T₁₄₈₄).

The spelling of 103966997904 in words is "one hundred three billion, nine hundred sixty-six million, nine hundred ninety-seven thousand, nine hundred four".