106106055506050 has 24 divisors (see below), whose sum is σ = 197490522841092. Its totient is φ = 42413764224000.

The previous prime is 106106055506023. The next prime is 106106055506051. The reversal of 106106055506050 is 50605550601601.

It can be written as a sum of positive squares in 6 ways, for example, as 17773332200649 + 88332723305401 = 4215843^2 + 9398549^2 .

It is a super-2 number, since 2×106106055506050² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106106055505994 and 106106055506012.

It is not an unprimeable number, because it can be changed into a prime (106106055506051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 716374671 + ... + 716522770.

Almost surely, 2^{106106055506050} is an apocalyptic number.

106106055506050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106106055506050 is a deficient number, since it is larger than the sum of its proper divisors (91384467335042).

106106055506050 is a wasteful number, since it uses less digits than its factorization.

106106055506050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432898934 (or 1432898929 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 40.

The spelling of 106106055506050 in words is "one hundred six trillion, one hundred six billion, fifty-five million, five hundred six thousand, fifty".