106134345114630 has 64 divisors (see below), whose sum is σ = 294796300400640. Its totient is φ = 23952199400064.

The previous prime is 106134345114619. The next prime is 106134345114631. The reversal of 106134345114630 is 36411543431601.

It is a happy number.

It is a super-2 number, since 2×106134345114630² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106134345114631) 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 31 ways as a sum of consecutive naturals, for example, 3198727989 + ... + 3198761168.

It is an arithmetic number, because the mean of its divisors is an integer number (4606192193760).

Almost surely, 2^{106134345114630} is an apocalyptic number.

106134345114630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106134345114630 is an abundant number, since it is smaller than the sum of its proper divisors (188661955286010).

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

106134345114630 is a wasteful number, since it uses less digits than its factorization.

106134345114630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6397489253.

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 106134345114630 in words is "one hundred six trillion, one hundred thirty-four billion, three hundred forty-five million, one hundred fourteen thousand, six hundred thirty".