106195786757955 has 24 divisors (see below), whose sum is σ = 184073518709808. Its totient is φ = 56637500118336.

The previous prime is 106195786757909. The next prime is 106195786758001. The reversal of 106195786757955 is 559757687591601.

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

It is an interprime number because it is at equal distance from previous prime (106195786757909) and next prime (106195786758001).

It is not a de Polignac number, because 106195786757955 - 2⁹ = 106195786757443 is a prime.

It is a super-3 number, since 3×106195786757955³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5152569 + ... + 15457701.

It is an arithmetic number, because the mean of its divisors is an integer number (7669729946242).

Almost surely, 2^{106195786757955} is an apocalyptic number.

106195786757955 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106195786757955 is a deficient number, since it is larger than the sum of its proper divisors (77877731951853).

106195786757955 is a wasteful number, since it uses less digits than its factorization.

106195786757955 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10534147 (or 10534144 counting only the distinct ones).

The product of its (nonzero) digits is 5000940000, while the sum is 81.

The spelling of 106195786757955 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-five".