106013997249 has 32 divisors (see below), whose sum is σ = 144313213440. Its totient is φ = 69205473792.

The previous prime is 106013997203. The next prime is 106013997259. The reversal of 106013997249 is 942799310601.

It is not a de Polignac number, because 106013997249 - 2¹¹ = 106013995201 is a prime.

It is a super-2 number, since 2×106013997249² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106013997259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65158374 + ... + 65160000.

It is an arithmetic number, because the mean of its divisors is an integer number (4509787920).

Almost surely, 2^106013997249 is an apocalyptic number.

It is an amenable number.

106013997249 is a deficient number, since it is larger than the sum of its proper divisors (38299216191).

106013997249 is a wasteful number, since it uses less digits than its factorization.

106013997249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2909.

The product of its (nonzero) digits is 734832, while the sum is 51.

The spelling of 106013997249 in words is "one hundred six billion, thirteen million, nine hundred ninety-seven thousand, two hundred forty-nine".