106481724229 has 16 divisors (see below), whose sum is σ = 113227988400. Its totient is φ = 99789512704.

The previous prime is 106481724221. The next prime is 106481724259. The reversal of 106481724229 is 922427184601.

It can be written as a sum of positive squares in 8 ways, for example, as 195944004 + 106285780225 = 13998^2 + 326015^2 .

It is a cyclic number.

It is not a de Polignac number, because 106481724229 - 2³ = 106481724221 is a prime.

It is a super-2 number, since 2×106481724229² (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 (106481724221) 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, 9730449 + ... + 9741385.

It is an arithmetic number, because the mean of its divisors is an integer number (7076749275).

Almost surely, 2^106481724229 is an apocalyptic number.

It is an amenable number.

106481724229 is a deficient number, since it is larger than the sum of its proper divisors (6746264171).

106481724229 is a wasteful number, since it uses less digits than its factorization.

106481724229 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13352.

The product of its (nonzero) digits is 387072, while the sum is 46.

The spelling of 106481724229 in words is "one hundred six billion, four hundred eighty-one million, seven hundred twenty-four thousand, two hundred twenty-nine".