106007108387137 has 8 divisors (see below), whose sum is σ = 106033792226792. Its totient is φ = 105980427907200.

The previous prime is 106007108387101. The next prime is 106007108387143. The reversal of 106007108387137 is 731783801700601.

It can be written as a sum of positive squares in 4 ways, for example, as 32553141047296 + 73453967339841 = 5705536^2 + 8570529^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106007108387137 is a prime.

It is a super-2 number, since 2×106007108387137² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106007178387137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62879587 + ... + 64543447.

It is an arithmetic number, because the mean of its divisors is an integer number (13254224028349).

Almost surely, 2^{106007108387137} is an apocalyptic number.

It is an amenable number.

106007108387137 is a deficient number, since it is larger than the sum of its proper divisors (26683839655).

106007108387137 is an equidigital number, since it uses as much as digits as its factorization.

106007108387137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679859.

The product of its (nonzero) digits is 1185408, while the sum is 52.

The spelling of 106007108387137 in words is "one hundred six trillion, seven billion, one hundred eight million, three hundred eighty-seven thousand, one hundred thirty-seven".