106100010555 has 64 divisors (see below), whose sum is σ = 212177581056. Its totient is φ = 43983360000.

The previous prime is 106100010553. The next prime is 106100010557. The reversal of 106100010555 is 555010001601.

It is an interprime number because it is at equal distance from previous prime (106100010553) and next prime (106100010557).

It is not a de Polignac number, because 106100010555 - 2¹ = 106100010553 is a prime.

It is a super-3 number, since 3×106100010555³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (106100010553) by changing a digit.

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, 348615 + ... + 577695.

It is an arithmetic number, because the mean of its divisors is an integer number (3315274704).

Almost surely, 2^106100010555 is an apocalyptic number.

106100010555 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106100010555 is a deficient number, since it is larger than the sum of its proper divisors (106077570501).

106100010555 is a wasteful number, since it uses less digits than its factorization.

106100010555 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229508.

The product of its (nonzero) digits is 750, while the sum is 24.

The spelling of 106100010555 in words is "one hundred six billion, one hundred million, ten thousand, five hundred fifty-five".