105125353436040 has 256 divisors, whose sum is σ = 362254159872000. Its totient is φ = 23907172377600.

The previous prime is 105125353435967. The next prime is 105125353436069. The reversal of 105125353436040 is 40634353521501.

It is a happy number.

It is a super-2 number, since 2×105125353436040² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 105125353435983 and 105125353436001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 278926041 + ... + 279302679.

It is an arithmetic number, because the mean of its divisors is an integer number (1415055312000).

Almost surely, 2^{105125353436040} is an apocalyptic number.

105125353436040 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 105125353436040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181127079936000).

105125353436040 is an abundant number, since it is smaller than the sum of its proper divisors (257128806435960).

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

105125353436040 is a wasteful number, since it uses less digits than its factorization.

105125353436040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378340 (or 378336 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 42.

The spelling of 105125353436040 in words is "one hundred five trillion, one hundred twenty-five billion, three hundred fifty-three million, four hundred thirty-six thousand, forty".