105152120 has 32 divisors (see below), whose sum is σ = 239839920. Its totient is φ = 41483520.

The previous prime is 105152111. The next prime is 105152129. The reversal of 105152120 is 21251501.

It is an interprime number because it is at equal distance from previous prime (105152111) and next prime (105152129).

It is a super-2 number, since 2×105152120² = 22113936680988800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105152129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15086 + ... + 20925.

Almost surely, 2^105152120 is an apocalyptic number.

105152120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105152120 is an abundant number, since it is smaller than the sum of its proper divisors (134687800).

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

105152120 is a wasteful number, since it uses less digits than its factorization.

105152120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36095 (or 36091 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 17.

The square root of 105152120 is about 10254.3707754303. The cubic root of 105152120 is about 471.9971152749.

The spelling of 105152120 in words is "one hundred five million, one hundred fifty-two thousand, one hundred twenty".