106274438518340 has 24 divisors (see below), whose sum is σ = 230375557047552. Its totient is φ = 41138492329440.

The previous prime is 106274438518331. The next prime is 106274438518343. The reversal of 106274438518340 is 43815834472601.

It is a happy number.

It is a super-2 number, since 2×106274438518340² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (106274438518343) 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 7 ways as a sum of consecutive naturals, for example, 85705191734 + ... + 85705192973.

It is an arithmetic number, because the mean of its divisors is an integer number (9598981543648).

Almost surely, 2^{106274438518340} is an apocalyptic number.

106274438518340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106274438518340 is an abundant number, since it is smaller than the sum of its proper divisors (124101118529212).

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

106274438518340 is a wasteful number, since it uses less digits than its factorization.

106274438518340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171410384747 (or 171410384745 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 56.

The spelling of 106274438518340 in words is "one hundred six trillion, two hundred seventy-four billion, four hundred thirty-eight million, five hundred eighteen thousand, three hundred forty".