105051055550504 has 512 divisors, whose sum is σ = 253727421235200. Its totient is φ = 39725071626240.

The previous prime is 105051055550491. The next prime is 105051055550531. The reversal of 105051055550504 is 405055550150501.

It is a happy number.

It is a super-2 number, since 2×105051055550504² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 103092301307 + ... + 103092302325.

It is an arithmetic number, because the mean of its divisors is an integer number (495561369600).

Almost surely, 2^{105051055550504} is an apocalyptic number.

105051055550504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105051055550504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126863710617600).

105051055550504 is an abundant number, since it is smaller than the sum of its proper divisors (148676365684696).

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

105051055550504 is a wasteful number, since it uses less digits than its factorization.

105051055550504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1613 (or 1609 counting only the distinct ones).

The product of its (nonzero) digits is 312500, while the sum is 41.

The spelling of 105051055550504 in words is "one hundred five trillion, fifty-one billion, fifty-five million, five hundred fifty thousand, five hundred four".