106742013 has 16 divisors (see below), whose sum is σ = 162814080. Its totient is φ = 60935616.

The previous prime is 106741993. The next prime is 106742063. The reversal of 106742013 is 310247601.

It is not a de Polignac number, because 106742013 - 2⁶ = 106741949 is a prime.

It is a super-2 number, since 2×106742013² = 22787714678584338, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106742063) 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, 28231 + ... + 31787.

It is an arithmetic number, because the mean of its divisors is an integer number (10175880).

Almost surely, 2^106742013 is an apocalyptic number.

It is an amenable number.

106742013 is a deficient number, since it is larger than the sum of its proper divisors (56072067).

106742013 is a wasteful number, since it uses less digits than its factorization.

106742013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4996.

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 106742013 is about 10331.6026346352. The cubic root of 106742013 is about 474.3640805116.

Adding to 106742013 its reverse (310247601), we get a palindrome (416989614).

The spelling of 106742013 in words is "one hundred six million, seven hundred forty-two thousand, thirteen".