105504000132050 has 144 divisors (see below), whose sum is σ = 213807056331960. Its totient is φ = 38715313029120.

The previous prime is 105504000132049. The next prime is 105504000132107. The reversal of 105504000132050 is 50231000405501.

It can be written as a sum of positive squares in 36 ways, for example, as 103708295610529 + 1795704521521 = 10183727^2 + 1340039^2 .

It is a super-2 number, since 2×105504000132050² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 891255266 + ... + 891373634.

Almost surely, 2^{105504000132050} is an apocalyptic number.

105504000132050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105504000132050 is an abundant number, since it is smaller than the sum of its proper divisors (108303056199910).

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

105504000132050 is a wasteful number, since it uses less digits than its factorization.

105504000132050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119057 (or 119039 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 26.

Adding to 105504000132050 its reverse (50231000405501), we get a palindrome (155735000537551).

The spelling of 105504000132050 in words is "one hundred five trillion, five hundred four billion, one hundred thirty-two thousand, fifty".