105375237840 has 240 divisors, whose sum is σ = 371974906368. Its totient is φ = 26681554944.

The previous prime is 105375237823. The next prime is 105375237859. The reversal of 105375237840 is 48732573501.

105375237840 is a `hidden beast` number, since 1 + 0 + 5 + 375 + 237 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×105375237840² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2245497 + ... + 2291943.

Almost surely, 2^105375237840 is an apocalyptic number.

105375237840 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 105375237840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185987453184).

105375237840 is an abundant number, since it is smaller than the sum of its proper divisors (266599668528).

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

105375237840 is a wasteful number, since it uses less digits than its factorization.

105375237840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46626 (or 46617 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 105375237840 in words is "one hundred five billion, three hundred seventy-five million, two hundred thirty-seven thousand, eight hundred forty".