106127131743 has 40 divisors (see below), whose sum is σ = 164131466400. Its totient is φ = 68257933632.

The previous prime is 106127131729. The next prime is 106127131757. The reversal of 106127131743 is 347131721601.

It is a happy number.

106127131743 is a `hidden beast` number, since 1 + 0 + 612 + 7 + 1 + 31 + 7 + 4 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (106127131729) and next prime (106127131757).

It is not a de Polignac number, because 106127131743 - 2⁴ = 106127131727 is a prime.

It is a super-2 number, since 2×106127131743² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106127131698 and 106127131707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106127131723) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3081205 + ... + 3115457.

It is an arithmetic number, because the mean of its divisors is an integer number (4103286660).

Almost surely, 2^106127131743 is an apocalyptic number.

106127131743 is a deficient number, since it is larger than the sum of its proper divisors (58004334657).

106127131743 is a wasteful number, since it uses less digits than its factorization.

106127131743 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35613 (or 35604 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 106127131743 in words is "one hundred six billion, one hundred twenty-seven million, one hundred thirty-one thousand, seven hundred forty-three".