105949005907 has 16 divisors (see below), whose sum is σ = 107131161600. Its totient is φ = 104773011840.

The previous prime is 105949005893. The next prime is 105949005923. The reversal of 105949005907 is 709500949501.

It is a cyclic number.

It is not a de Polignac number, because 105949005907 - 2¹⁹ = 105948481619 is a prime.

It is a super-2 number, since 2×105949005907² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105949065907) 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, 95535069 + ... + 95536177.

It is an arithmetic number, because the mean of its divisors is an integer number (6695697600).

Almost surely, 2^105949005907 is an apocalyptic number.

105949005907 is a deficient number, since it is larger than the sum of its proper divisors (1182155693).

105949005907 is a wasteful number, since it uses less digits than its factorization.

105949005907 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3006.

The product of its (nonzero) digits is 510300, while the sum is 49.

The spelling of 105949005907 in words is "one hundred five billion, nine hundred forty-nine million, five thousand, nine hundred seven".