106011123413 has 8 divisors (see below), whose sum is σ = 114242313528. Its totient is φ = 97790860224.

The previous prime is 106011123403. The next prime is 106011123431. The reversal of 106011123413 is 314321110601.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8418613009 + 97592510404 = 91753^2 + 312398^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106011123413 - 2¹⁰ = 106011122389 is a prime.

It is a super-2 number, since 2×106011123413² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106011123403) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2711570 + ... + 2750387.

It is an arithmetic number, because the mean of its divisors is an integer number (14280289191).

Almost surely, 2^106011123413 is an apocalyptic number.

106011123413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

106011123413 is a deficient number, since it is larger than the sum of its proper divisors (8231190115).

106011123413 is a wasteful number, since it uses less digits than its factorization.

106011123413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5463463.

The product of its (nonzero) digits is 432, while the sum is 23.

The spelling of 106011123413 in words is "one hundred six billion, eleven million, one hundred twenty-three thousand, four hundred thirteen".