105525256434 has 128 divisors (see below), whose sum is σ = 243432483840. Its totient is φ = 30260127744.

The previous prime is 105525256427. The next prime is 105525256547. The reversal of 105525256434 is 434652525501.

It is a super-2 number, since 2×105525256434² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7754124 + ... + 7767720.

It is an arithmetic number, because the mean of its divisors is an integer number (1901816280).

Almost surely, 2^105525256434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105525256434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121716241920).

105525256434 is an abundant number, since it is smaller than the sum of its proper divisors (137907227406).

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

105525256434 is a wasteful number, since it uses less digits than its factorization.

105525256434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13764.

The product of its (nonzero) digits is 720000, while the sum is 42.

The spelling of 105525256434 in words is "one hundred five billion, five hundred twenty-five million, two hundred fifty-six thousand, four hundred thirty-four".