106100505555 has 64 divisors (see below), whose sum is σ = 191007922176. Its totient is φ = 49849280000.

The previous prime is 106100505541. The next prime is 106100505571. The reversal of 106100505555 is 555505001601.

It is not a de Polignac number, because 106100505555 - 2¹¹ = 106100503507 is a prime.

It is a super-2 number, since 2×106100505555² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 715525 + ... + 850985.

It is an arithmetic number, because the mean of its divisors is an integer number (2984498784).

Almost surely, 2^106100505555 is an apocalyptic number.

106100505555 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106100505555 is a deficient number, since it is larger than the sum of its proper divisors (84907416621).

106100505555 is a wasteful number, since it uses less digits than its factorization.

106100505555 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135628.

The product of its (nonzero) digits is 18750, while the sum is 33.

The spelling of 106100505555 in words is "one hundred six billion, one hundred million, five hundred five thousand, five hundred fifty-five".