105168216972 has 96 divisors (see below), whose sum is σ = 302490381312. Its totient is φ = 27693616896.

The previous prime is 105168216971. The next prime is 105168216973. The reversal of 105168216972 is 279612861501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105168216971) and next prime (105168216973).

It is a super-2 number, since 2×105168216972² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105168216971) 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 31 ways as a sum of consecutive naturals, for example, 632098 + ... + 780950.

It is an arithmetic number, because the mean of its divisors is an integer number (3150941472).

Almost surely, 2^105168216972 is an apocalyptic number.

105168216972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105168216972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151245190656).

105168216972 is an abundant number, since it is smaller than the sum of its proper divisors (197322164340).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105168216972 is a wasteful number, since it uses less digits than its factorization.

105168216972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149527 (or 149525 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 48.

The spelling of 105168216972 in words is "one hundred five billion, one hundred sixty-eight million, two hundred sixteen thousand, nine hundred seventy-two".