105089152 has 64 divisors (see below), whose sum is σ = 251899200. Its totient is φ = 42660864.

The previous prime is 105089147. The next prime is 105089161. The reversal of 105089152 is 251980501.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×105089152² = 22087459736158208, which contains 22 as substring.

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, 13938 + ... + 20110.

It is an arithmetic number, because the mean of its divisors is an integer number (3935925).

Almost surely, 2^105089152 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 105089152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125949600).

105089152 is an abundant number, since it is smaller than the sum of its proper divisors (146810048).

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

105089152 is an equidigital number, since it uses as much as digits as its factorization.

105089152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6213 (or 6201 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 31.

The square root of 105089152 is about 10251.3000151200. The cubic root of 105089152 is about 471.9028814834.

The spelling of 105089152 in words is "one hundred five million, eighty-nine thousand, one hundred fifty-two".