105187152 has 80 divisors (see below), whose sum is σ = 318983552. Its totient is φ = 29237760.

The previous prime is 105187141. The next prime is 105187193. The reversal of 105187152 is 251781501.

It is a super-2 number, since 2×105187152² = 22128673891742208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8202 + ... + 16662.

Almost surely, 2^105187152 is an apocalyptic number.

105187152 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 105187152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159491776).

105187152 is an abundant number, since it is smaller than the sum of its proper divisors (213796400).

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

105187152 is a wasteful number, since it uses less digits than its factorization.

105187152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8516 (or 8510 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 30.

The square root of 105187152 is about 10256.0787828487. The cubic root of 105187152 is about 472.0495255894.

The spelling of 105187152 in words is "one hundred five million, one hundred eighty-seven thousand, one hundred fifty-two".