105411152 has 120 divisors (see below), whose sum is σ = 274803840. Its totient is φ = 38599680.

The previous prime is 105411151. The next prime is 105411199. The reversal of 105411152 is 251114501.

It is a super-2 number, since 2×105411152² = 22223021931934208, which contains 22 as substring.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105411151) 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, 146249 + ... + 146967.

It is an arithmetic number, because the mean of its divisors is an integer number (2290032).

Almost surely, 2^105411152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105411152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137401920).

105411152 is an abundant number, since it is smaller than the sum of its proper divisors (169392688).

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

105411152 is a wasteful number, since it uses less digits than its factorization.

105411152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 20.

The square root of 105411152 is about 10266.9933281365. The cubic root of 105411152 is about 472.3843704253.

Adding to 105411152 its reverse (251114501), we get a palindrome (356525653).

The spelling of 105411152 in words is "one hundred five million, four hundred eleven thousand, one hundred fifty-two".