105786442125 has 512 divisors, whose sum is σ = 255488163840. Its totient is φ = 41990400000.

The previous prime is 105786442123. The next prime is 105786442193. The reversal of 105786442125 is 521244687501.

105786442125 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 86 + 442 + 125 = 666.

It is not a de Polignac number, because 105786442125 - 2¹ = 105786442123 is a prime.

It is a super-2 number, since 2×105786442125² (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 not an unprimeable number, because it can be changed into a prime (105786442123) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 390355740 + ... + 390356010.

It is an arithmetic number, because the mean of its divisors is an integer number (499000320).

Almost surely, 2^105786442125 is an apocalyptic number.

105786442125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105786442125 is an abundant number, since it is smaller than the sum of its proper divisors (149701721715).

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

105786442125 is a wasteful number, since it uses less digits than its factorization.

105786442125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 105786442125 in words is "one hundred five billion, seven hundred eighty-six million, four hundred forty-two thousand, one hundred twenty-five".