106195786757957 has 4 divisors (see below), whose sum is σ = 114364693431660. Its totient is φ = 98026880084256.

The previous prime is 106195786757909. The next prime is 106195786758001. The reversal of 106195786757957 is 759757687591601.

It is a Cunningham number, because it is equal to 10305134²+1.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 15709443228196 + 90486343529761 = 3963514^2 + 9512431^2 .

It is a cyclic number.

It is not a de Polignac number, because 106195786757957 - 2²² = 106195782563653 is a prime.

It is a super-3 number, since 3×106195786757957³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106195786057957) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4084453336832 + ... + 4084453336857.

It is an arithmetic number, because the mean of its divisors is an integer number (28591173357915).

Almost surely, 2^{106195786757957} is an apocalyptic number.

It is an amenable number.

106195786757957 is a deficient number, since it is larger than the sum of its proper divisors (8168906673703).

106195786757957 is an equidigital number, since it uses as much as digits as its factorization.

106195786757957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8168906673702.

The product of its (nonzero) digits is 7001316000, while the sum is 83.

The spelling of 106195786757957 in words is "one hundred six trillion, one hundred ninety-five billion, seven hundred eighty-six million, seven hundred fifty-seven thousand, nine hundred fifty-seven".