105108153192 has 192 divisors, whose sum is σ = 339831797760. Its totient is φ = 28695427200.

The previous prime is 105108153191. The next prime is 105108153193. The reversal of 105108153192 is 291351801501.

105108153192 is a `hidden beast` number, since 1 + 0 + 510 + 8 + 1 + 53 + 1 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (105108153191) and next prime (105108153193).

It is a super-2 number, since 2×105108153192² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (105108153191) 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 47 ways as a sum of consecutive naturals, for example, 12642717 + ... + 12651027.

It is an arithmetic number, because the mean of its divisors is an integer number (1769957280).

Almost surely, 2^105108153192 is an apocalyptic number.

105108153192 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 105108153192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169915898880).

105108153192 is an abundant number, since it is smaller than the sum of its proper divisors (234723644568).

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

105108153192 is a wasteful number, since it uses less digits than its factorization.

105108153192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9444 (or 9437 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 36.

Adding to 105108153192 its reverse (291351801501), we get a palindrome (396459954693).

The spelling of 105108153192 in words is "one hundred five billion, one hundred eight million, one hundred fifty-three thousand, one hundred ninety-two".