106103941695 has 48 divisors (see below), whose sum is σ = 194826396960. Its totient is φ = 53234184192.

The previous prime is 106103941637. The next prime is 106103941709. The reversal of 106103941695 is 596149301601.

106103941695 is a `hidden beast` number, since 10 + 610 + 3 + 9 + 4 + 16 + 9 + 5 = 666.

It is a Cunningham number, because it is equal to 325736²-1.

It is not a de Polignac number, because 106103941695 - 2¹⁰ = 106103940671 is a prime.

It is a super-2 number, since 2×106103941695² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 106103941695.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1596112 + ... + 1661258.

It is an arithmetic number, because the mean of its divisors is an integer number (4058883270).

Almost surely, 2^106103941695 is an apocalyptic number.

106103941695 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106103941695 is a deficient number, since it is larger than the sum of its proper divisors (88722455265).

106103941695 is a wasteful number, since it uses less digits than its factorization.

106103941695 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67304 (or 67301 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 106103941695 in words is "one hundred six billion, one hundred three million, nine hundred forty-one thousand, six hundred ninety-five".