105303659631840 has 1920 divisors, whose sum is σ = 438959880374400. Its totient is φ = 23584018268160.

The previous prime is 105303659631749. The next prime is 105303659631853. The reversal of 105303659631840 is 48136956303501.

105303659631840 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 0 + 3 + 6 + 596 + 3 + 1 + 8 + 40 = 666.

It is a super-2 number, since 2×105303659631840² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 4977238542 + ... + 4977259698.

It is an arithmetic number, because the mean of its divisors is an integer number (228624937695).

Almost surely, 2^{105303659631840} is an apocalyptic number.

105303659631840 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 105303659631840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219479940187200).

105303659631840 is an abundant number, since it is smaller than the sum of its proper divisors (333656220742560).

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

105303659631840 is a wasteful number, since it uses less digits than its factorization.

105303659631840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21290 (or 21273 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 105303659631840 in words is "one hundred five trillion, three hundred three billion, six hundred fifty-nine million, six hundred thirty-one thousand, eight hundred forty".