105106005556104 has 64 divisors (see below), whose sum is σ = 310658144515200. Its totient is φ = 28994760152064.

The previous prime is 105106005556031. The next prime is 105106005556117. The reversal of 105106005556104 is 401655500601501.

It is a super-2 number, since 2×105106005556104² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10786736257 + ... + 10786746000.

It is an arithmetic number, because the mean of its divisors is an integer number (4854033508050).

Almost surely, 2^{105106005556104} is an apocalyptic number.

105106005556104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105106005556104 is an abundant number, since it is smaller than the sum of its proper divisors (205552138959096).

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

105106005556104 is a wasteful number, since it uses less digits than its factorization.

105106005556104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21573482302 (or 21573482298 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 39.

The spelling of 105106005556104 in words is "one hundred five trillion, one hundred six billion, five million, five hundred fifty-six thousand, one hundred four".