105514553536 has 56 divisors (see below), whose sum is σ = 245128365216. Its totient is φ = 44117575680.

The previous prime is 105514553527. The next prime is 105514553597. The reversal of 105514553536 is 635355415501.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×105514553536² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105514553492 and 105514553501.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2853871 + ... + 2890606.

It is an arithmetic number, because the mean of its divisors is an integer number (4377292236).

Almost surely, 2^105514553536 is an apocalyptic number.

105514553536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105514553536 is an abundant number, since it is smaller than the sum of its proper divisors (139613811680).

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

105514553536 is an equidigital number, since it uses as much as digits as its factorization.

105514553536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5744537 (or 5744527 counting only the distinct ones).

The product of its (nonzero) digits is 675000, while the sum is 43.

The spelling of 105514553536 in words is "one hundred five billion, five hundred fourteen million, five hundred fifty-three thousand, five hundred thirty-six".