105121152 has 80 divisors (see below), whose sum is σ = 312869700. Its totient is φ = 35036928.

The previous prime is 105121147. The next prime is 105121157. The reversal of 105121152 is 251121501.

105121152 is a `hidden beast` number, since 1 + 0 + 512 + 1 + 152 = 666.

It is an interprime number because it is at equal distance from previous prime (105121147) and next prime (105121157).

It is a super-2 number, since 2×105121152² = 22100913195614208, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105121157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5299 + ... + 15437.

Almost surely, 2^105121152 is an apocalyptic number.

105121152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105121152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156434850).

105121152 is an abundant number, since it is smaller than the sum of its proper divisors (207748548).

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

105121152 is an equidigital number, since it uses as much as digits as its factorization.

105121152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10165 (or 10144 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

The square root of 105121152 is about 10252.8606739778. The cubic root of 105121152 is about 471.9507752936.

Adding to 105121152 its reverse (251121501), we get a palindrome (356242653).

It can be divided in two parts, 10512 and 1152, that added together give a square (11664 = 108²).

The spelling of 105121152 in words is "one hundred five million, one hundred twenty-one thousand, one hundred fifty-two".