106100505606051 has 48 divisors (see below), whose sum is σ = 167544802114560. Its totient is φ = 64166376375360.

The previous prime is 106100505605999. The next prime is 106100505606083. The reversal of 106100505606051 is 150606505001601.

It is not a de Polignac number, because 106100505606051 - 2⁹ = 106100505605539 is a prime.

It is a super-2 number, since 2×106100505606051² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106100505605997 and 106100505606015.

It is not an unprimeable number, because it can be changed into a prime (106100515606051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2154169141 + ... + 2154218393.

It is an arithmetic number, because the mean of its divisors is an integer number (3490516710720).

Almost surely, 2^{106100505606051} is an apocalyptic number.

106100505606051 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

106100505606051 is a deficient number, since it is larger than the sum of its proper divisors (61444296508509).

106100505606051 is a wasteful number, since it uses less digits than its factorization.

106100505606051 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95176 (or 95173 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 106100505606051 in words is "one hundred six trillion, one hundred billion, five hundred five million, six hundred six thousand, fifty-one".