105526032783379 has 48 divisors (see below), whose sum is σ = 122648692168800. Its totient is φ = 89994968414208.

The previous prime is 105526032783349. The next prime is 105526032783407. The reversal of 105526032783379 is 973387230625501.

It is a happy number.

It is not a de Polignac number, because 105526032783379 - 2¹³ = 105526032775187 is a prime.

It is a super-2 number, since 2×105526032783379² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105526032783349) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116697009 + ... + 117597805.

It is an arithmetic number, because the mean of its divisors is an integer number (2555181086850).

Almost surely, 2^{105526032783379} is an apocalyptic number.

105526032783379 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

105526032783379 is a deficient number, since it is larger than the sum of its proper divisors (17122659385421).

105526032783379 is an equidigital number, since it uses as much as digits as its factorization.

105526032783379 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901064 (or 900991 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 61.

The spelling of 105526032783379 in words is "one hundred five trillion, five hundred twenty-six billion, thirty-two million, seven hundred eighty-three thousand, three hundred seventy-nine".