106529348029 has 48 divisors (see below), whose sum is σ = 128671804800. Its totient is φ = 87414045696.

The previous prime is 106529347999. The next prime is 106529348071. The reversal of 106529348029 is 920843925601.

It is not a de Polignac number, because 106529348029 - 2¹⁷ = 106529216957 is a prime.

It is a super-2 number, since 2×106529348029² (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 (106529348329) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25624419 + ... + 25628575.

It is an arithmetic number, because the mean of its divisors is an integer number (2680662600).

Almost surely, 2^106529348029 is an apocalyptic number.

106529348029 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

106529348029 is a deficient number, since it is larger than the sum of its proper divisors (22142456771).

106529348029 is a wasteful number, since it uses less digits than its factorization.

106529348029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4582 (or 4565 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 49.

The spelling of 106529348029 in words is "one hundred six billion, five hundred twenty-nine million, three hundred forty-eight thousand, twenty-nine".