106630129082658 has 64 divisors (see below), whose sum is σ = 238593215139840. Its totient is φ = 31571425135872.

The previous prime is 106630129082657. The next prime is 106630129082663. The reversal of 106630129082658 is 856280921036601.

It is a super-2 number, since 2×106630129082658² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 106630129082598 and 106630129082607.

It is not an unprimeable number, because it can be changed into a prime (106630129082657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104092410 + ... + 105111797.

It is an arithmetic number, because the mean of its divisors is an integer number (3728018986560).

Almost surely, 2^{106630129082658} is an apocalyptic number.

106630129082658 is an abundant number, since it is smaller than the sum of its proper divisors (131963086057182).

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

106630129082658 is a wasteful number, since it uses less digits than its factorization.

106630129082658 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209204511.

The product of its (nonzero) digits is 7464960, while the sum is 57.

The spelling of 106630129082658 in words is "one hundred six trillion, six hundred thirty billion, one hundred twenty-nine million, eighty-two thousand, six hundred fifty-eight".