105852732997440 has 448 divisors, whose sum is σ = 407574825541632. Its totient is φ = 22923216691200.

The previous prime is 105852732997387. The next prime is 105852732997477. The reversal of 105852732997440 is 44799237258501.

It is a super-2 number, since 2×105852732997440² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8180962 + ... + 16692321.

It is an arithmetic number, because the mean of its divisors is an integer number (909765235584).

Almost surely, 2^{105852732997440} is an apocalyptic number.

105852732997440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105852732997440 is an abundant number, since it is smaller than the sum of its proper divisors (301722092544192).

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

105852732997440 is a wasteful number, since it uses less digits than its factorization.

105852732997440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24873358 (or 24873348 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 66.

The spelling of 105852732997440 in words is "one hundred five trillion, eight hundred fifty-two billion, seven hundred thirty-two million, nine hundred ninety-seven thousand, four hundred forty".