106581048029 has 2 divisors, whose sum is σ = 106581048030. Its totient is φ = 106581048028.

The previous prime is 106581047983. The next prime is 106581048043. The reversal of 106581048029 is 920840185601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99604622404 + 6976425625 = 315602^2 + 83525^2 .

It is a cyclic number.

It is not a de Polignac number, because 106581048029 - 2¹⁶ = 106580982493 is a prime.

It is a super-2 number, since 2×106581048029² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106581048059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53290524014 + 53290524015.

It is an arithmetic number, because the mean of its divisors is an integer number (53290524015).

Almost surely, 2^106581048029 is an apocalyptic number.

It is an amenable number.

106581048029 is a deficient number, since it is larger than the sum of its proper divisors (1).

106581048029 is an equidigital number, since it uses as much as digits as its factorization.

106581048029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 138240, while the sum is 44.

The spelling of 106581048029 in words is "one hundred six billion, five hundred eighty-one million, forty-eight thousand, twenty-nine".