106005510550600 has 96 divisors (see below), whose sum is σ = 260664088528800. Its totient is φ = 39980127398400.

The previous prime is 106005510550559. The next prime is 106005510550631. The reversal of 106005510550600 is 6055015500601.

It is a super-2 number, since 2×106005510550600² (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 23 ways as a sum of consecutive naturals, for example, 65302909 + ... + 66906508.

It is an arithmetic number, because the mean of its divisors is an integer number (2715250922175).

Almost surely, 2^{106005510550600} is an apocalyptic number.

106005510550600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106005510550600 is an abundant number, since it is smaller than the sum of its proper divisors (154658577978200).

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

106005510550600 is a wasteful number, since it uses less digits than its factorization.

106005510550600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132209663 (or 132209654 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 34.

The spelling of 106005510550600 in words is "one hundred six trillion, five billion, five hundred ten million, five hundred fifty thousand, six hundred".