105605011055100 has 36 divisors (see below), whose sum is σ = 305550498653624. Its totient is φ = 28161336281280.

The previous prime is 105605011055099. The next prime is 105605011055119. The reversal of 105605011055100 is 1550110506501.

It is a super-2 number, since 2×105605011055100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 176008351459 + ... + 176008352058.

Almost surely, 2^{105605011055100} is an apocalyptic number.

105605011055100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105605011055100 is an abundant number, since it is smaller than the sum of its proper divisors (199945487598524).

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

105605011055100 is a wasteful number, since it uses less digits than its factorization.

105605011055100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352016703534 (or 352016703527 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 30.

The spelling of 105605011055100 in words is "one hundred five trillion, six hundred five billion, eleven million, fifty-five thousand, one hundred".