106400123114 has 32 divisors (see below), whose sum is σ = 164914747200. Its totient is φ = 51452496000.

The previous prime is 106400123083. The next prime is 106400123119. The reversal of 106400123114 is 411321004601.

It is a super-2 number, since 2×106400123114² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106400123114.

It is not an unprimeable number, because it can be changed into a prime (106400123119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6381689 + ... + 6398339.

It is an arithmetic number, because the mean of its divisors is an integer number (5153585850).

Almost surely, 2^106400123114 is an apocalyptic number.

106400123114 is a deficient number, since it is larger than the sum of its proper divisors (58514624086).

106400123114 is a wasteful number, since it uses less digits than its factorization.

106400123114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17366.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 106400123114 its reverse (411321004601), we get a palindrome (517721127715).

The spelling of 106400123114 in words is "one hundred six billion, four hundred million, one hundred twenty-three thousand, one hundred fourteen".