105145152 has 56 divisors (see below), whose sum is σ = 317942976. Its totient is φ = 30041088.

The previous prime is 105145127. The next prime is 105145199. The reversal of 105145152 is 251541501.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×105145152² = 22111005978206208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37773 + ... + 40460.

Almost surely, 2^105145152 is an apocalyptic number.

105145152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105145152 is an abundant number, since it is smaller than the sum of its proper divisors (212797824).

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

105145152 is an equidigital number, since it uses as much as digits as its factorization.

105145152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78255 (or 78245 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 24.

The square root of 105145152 is about 10254.0310122410. The cubic root of 105145152 is about 471.9866892732.

Adding to 105145152 its reverse (251541501), we get a palindrome (356686653).

The spelling of 105145152 in words is "one hundred five million, one hundred forty-five thousand, one hundred fifty-two".