105105156651 has 24 divisors (see below), whose sum is σ = 165730968000. Its totient is φ = 63657510000.

The previous prime is 105105156619. The next prime is 105105156661. The reversal of 105105156651 is 156651501501.

It is a happy number.

It is not a de Polignac number, because 105105156651 - 2⁵ = 105105156619 is a prime.

It is a super-2 number, since 2×105105156651² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105105156661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 205725 + ... + 502526.

It is an arithmetic number, because the mean of its divisors is an integer number (6905457000).

Almost surely, 2^105105156651 is an apocalyptic number.

105105156651 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105105156651 is a deficient number, since it is larger than the sum of its proper divisors (60625811349).

105105156651 is a wasteful number, since it uses less digits than its factorization.

105105156651 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709767 (or 709764 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 36.

The spelling of 105105156651 in words is "one hundred five billion, one hundred five million, one hundred fifty-six thousand, six hundred fifty-one".