103550132183904 has 1152 divisors, whose sum is σ = 369800597117952. Its totient is φ = 26813870899200.

The previous prime is 103550132183899. The next prime is 103550132183963. The reversal of 103550132183904 is 409381231055301.

103550132183904 is a `hidden beast` number, since 1 + 0 + 3 + 550 + 1 + 3 + 2 + 1 + 8 + 3 + 90 + 4 = 666.

It is a super-3 number, since 3×103550132183904³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103550132183904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 38252725719 + ... + 38252728425.

It is an arithmetic number, because the mean of its divisors is an integer number (321007462776).

Almost surely, 2^{103550132183904} is an apocalyptic number.

103550132183904 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 103550132183904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184900298558976).

103550132183904 is an abundant number, since it is smaller than the sum of its proper divisors (266250464934048).

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

103550132183904 is a wasteful number, since it uses less digits than its factorization.

103550132183904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3148 (or 3137 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 103550132183904 in words is "one hundred three trillion, five hundred fifty billion, one hundred thirty-two million, one hundred eighty-three thousand, nine hundred four".