105153210 has 48 divisors (see below), whose sum is σ = 274656096. Its totient is φ = 27911904.

The previous prime is 105153193. The next prime is 105153227. The reversal of 105153210 is 12351501.

It is an interprime number because it is at equal distance from previous prime (105153193) and next prime (105153227).

It is a super-2 number, since 2×105153210² = 22114395146608200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17857 + ... + 23003.

It is an arithmetic number, because the mean of its divisors is an integer number (5722002).

Almost surely, 2^105153210 is an apocalyptic number.

105153210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105153210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137328048).

105153210 is an abundant number, since it is smaller than the sum of its proper divisors (169502886).

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

105153210 is a wasteful number, since it uses less digits than its factorization.

105153210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5387 (or 5384 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 105153210 is about 10254.4239233611. The cubic root of 105153210 is about 471.9987461664.

The spelling of 105153210 in words is "one hundred five million, one hundred fifty-three thousand, two hundred ten".