106415307629 has 16 divisors (see below), whose sum is σ = 111954493440. Its totient is φ = 101008951680.

The previous prime is 106415307623. The next prime is 106415307793. The reversal of 106415307629 is 926703514601.

It is not a de Polignac number, because 106415307629 - 2¹⁶ = 106415242093 is a prime.

It is a super-2 number, since 2×106415307629² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106415307629.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106415307623) 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, 6920852 + ... + 6936210.

It is an arithmetic number, because the mean of its divisors is an integer number (6997155840).

Almost surely, 2^106415307629 is an apocalyptic number.

It is an amenable number.

106415307629 is a deficient number, since it is larger than the sum of its proper divisors (5539185811).

106415307629 is a wasteful number, since it uses less digits than its factorization.

106415307629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19660.

The product of its (nonzero) digits is 272160, while the sum is 44.

The spelling of 106415307629 in words is "one hundred six billion, four hundred fifteen million, three hundred seven thousand, six hundred twenty-nine".