105297152 has 36 divisors (see below), whose sum is σ = 210897876. Its totient is φ = 52469760.

The previous prime is 105297119. The next prime is 105297169. The reversal of 105297152 is 251792501.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 42823936 + 62473216 = 6544^2 + 7904^2 .

It is a super-2 number, since 2×105297152² = 22174980438622208, which contains 22 as substring.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 107288 + ... + 108264.

Almost surely, 2^105297152 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 105297152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105448938).

105297152 is an abundant number, since it is smaller than the sum of its proper divisors (105600724).

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

105297152 is an frugal number, since it uses more digits than its factorization.

105297152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1414 (or 1400 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 32.

The square root of 105297152 is about 10261.4400548851. The cubic root of 105297152 is about 472.2140176619.

The spelling of 105297152 in words is "one hundred five million, two hundred ninety-seven thousand, one hundred fifty-two".