105153192 has 96 divisors (see below), whose sum is σ = 294840000. Its totient is φ = 33834240.

The previous prime is 105153161. The next prime is 105153193. The reversal of 105153192 is 291351501.

It is a super-2 number, since 2×105153192² = 22114387575577728, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105153193) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 528309 + ... + 528507.

It is an arithmetic number, because the mean of its divisors is an integer number (3071250).

Almost surely, 2^105153192 is an apocalyptic number.

105153192 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 105153192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147420000).

105153192 is an abundant number, since it is smaller than the sum of its proper divisors (189686808).

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

105153192 is a wasteful number, since it uses less digits than its factorization.

105153192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 105153192 is about 10254.4230456911. The cubic root of 105153192 is about 471.9987192343.

The spelling of 105153192 in words is "one hundred five million, one hundred fifty-three thousand, one hundred ninety-two".