105137288496 has 50 divisors (see below), whose sum is σ = 304297819452. Its totient is φ = 35045762400.

The previous prime is 105137288483. The next prime is 105137288521. The reversal of 105137288496 is 694882731501.

105137288496 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 3 + 72 + 88 + 496 = 666.

It is a super-2 number, since 2×105137288496² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 40560930 + ... + 40563521.

It is a 1-persistent number, because it is pandigital, but 2⋅105137288496 = 210274576992 is not.

Almost surely, 2^105137288496 is an apocalyptic number.

105137288496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105137288496 is an abundant number, since it is smaller than the sum of its proper divisors (199160530956).

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

105137288496 is an equidigital number, since it uses as much as digits as its factorization.

105137288496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81124471 (or 81124456 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 105137288496 in words is "one hundred five billion, one hundred thirty-seven million, two hundred eighty-eight thousand, four hundred ninety-six".