106132026431 has 16 divisors (see below), whose sum is σ = 107713307520. Its totient is φ = 104560093440.

The previous prime is 106132026389. The next prime is 106132026463. The reversal of 106132026431 is 134620231601.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106132026431 is a prime.

It is a super-2 number, since 2×106132026431² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106132026394 and 106132026403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106132020431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42845765 + ... + 42848241.

It is an arithmetic number, because the mean of its divisors is an integer number (6732081720).

Almost surely, 2^106132026431 is an apocalyptic number.

106132026431 is a deficient number, since it is larger than the sum of its proper divisors (1581281089).

106132026431 is a wasteful number, since it uses less digits than its factorization.

106132026431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4114.

The product of its (nonzero) digits is 5184, while the sum is 29.

The spelling of 106132026431 in words is "one hundred six billion, one hundred thirty-two million, twenty-six thousand, four hundred thirty-one".