106113007 has 48 divisors (see below), whose sum is σ = 150151680. Its totient is φ = 72832320.

The previous prime is 106112999. The next prime is 106113041. The reversal of 106113007 is 700311601.

It is a happy number.

It is not a de Polignac number, because 106113007 - 2³ = 106112999 is a prime.

It is a super-2 number, since 2×106113007² = 22519940509164098, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106113047) 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 47 ways as a sum of consecutive naturals, for example, 253044 + ... + 253462.

It is an arithmetic number, because the mean of its divisors is an integer number (3128160).

Almost surely, 2^106113007 is an apocalyptic number.

106113007 is a deficient number, since it is larger than the sum of its proper divisors (44038673).

106113007 is a wasteful number, since it uses less digits than its factorization.

106113007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 106113007 is about 10301.1167841162. The cubic root of 106113007 is about 473.4304716439.

Adding to 106113007 its reverse (700311601), we get a palindrome (806424608).

The spelling of 106113007 in words is "one hundred six million, one hundred thirteen thousand, seven".