81029106 has 64 divisors (see below), whose sum is σ = 193916160. Its totient is φ = 24986880.

The previous prime is 81029101. The next prime is 81029111. The reversal of 81029106 is 60192018.

It is an interprime number because it is at equal distance from previous prime (81029101) and next prime (81029111).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 81029106.

It is not an unprimeable number, because it can be changed into a prime (81029101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55275 + ... + 56721.

It is an arithmetic number, because the mean of its divisors is an integer number (3029940).

Almost surely, 2^81029106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81029106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96958080).

81029106 is an abundant number, since it is smaller than the sum of its proper divisors (112887054).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

81029106 is a wasteful number, since it uses less digits than its factorization.

81029106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536 (or 1530 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 81029106 is about 9001.6168547656. The cubic root of 81029106 is about 432.7266897206.

The spelling of 81029106 in words is "eighty-one million, twenty-nine thousand, one hundred six".