105123363840 has 704 divisors, whose sum is σ = 413571294720. Its totient is φ = 25108807680.

The previous prime is 105123363833. The next prime is 105123363853. The reversal of 105123363840 is 48363321501.

105123363840 is a `hidden beast` number, since 1 + 0 + 5 + 12 + 3 + 3 + 638 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×105123363840² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 105123363795 and 105123363804.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 111006247 + ... + 111007193.

Almost surely, 2^105123363840 is an apocalyptic number.

105123363840 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 105123363840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206785647360).

105123363840 is an abundant number, since it is smaller than the sum of its proper divisors (308447930880).

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

105123363840 is a wasteful number, since it uses less digits than its factorization.

105123363840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 105123363840 in words is "one hundred five billion, one hundred twenty-three million, three hundred sixty-three thousand, eight hundred forty".