105015132 has 36 divisors (see below), whose sum is σ = 266438536. Its totient is φ = 34875360.

The previous prime is 105015121. The next prime is 105015151. The reversal of 105015132 is 231510501.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×105015132² = 22056355897954848, 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4707 + ... + 15237.

Almost surely, 2^105015132 is an apocalyptic number.

105015132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105015132 is an abundant number, since it is smaller than the sum of its proper divisors (161423404).

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

105015132 is a wasteful number, since it uses less digits than its factorization.

105015132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10818 (or 10813 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 105015132 is about 10247.6891053544. The cubic root of 105015132 is about 471.7920598463.

Adding to 105015132 its reverse (231510501), we get a palindrome (336525633).

The spelling of 105015132 in words is "one hundred five million, fifteen thousand, one hundred thirty-two".