105803932631040 has 2304 divisors, whose sum is σ = 446170238115840. Its totient is φ = 23290215137280.

The previous prime is 105803932631039. The next prime is 105803932631041. The reversal of 105803932631040 is 40136239308501.

105803932631040 is a `hidden beast` number, since 1 + 0 + 5 + 8 + 0 + 3 + 9 + 3 + 2 + 631 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (105803932631039) and next prime (105803932631041).

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×105803932631040² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (105803932631041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 466096619407 + ... + 466096619633.

It is an arithmetic number, because the mean of its divisors is an integer number (193650276960).

Almost surely, 2^{105803932631040} is an apocalyptic number.

105803932631040 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 105803932631040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223085119057920).

105803932631040 is an abundant number, since it is smaller than the sum of its proper divisors (340366305484800).

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

105803932631040 is an frugal number, since it uses more digits than its factorization.

105803932631040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 105803932631040 in words is "one hundred five trillion, eight hundred three billion, nine hundred thirty-two million, six hundred thirty-one thousand, forty".