105515772 has 12 divisors (see below), whose sum is σ = 246203496. Its totient is φ = 35171920.

The previous prime is 105515713. The next prime is 105515779. The reversal of 105515772 is 277515501.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×105515772² = 22267156281511968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105515779) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 4396479 + ... + 4396502.

It is an arithmetic number, because the mean of its divisors is an integer number (20516958).

Almost surely, 2^105515772 is an apocalyptic number.

105515772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105515772 is an abundant number, since it is smaller than the sum of its proper divisors (140687724).

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

105515772 is a wasteful number, since it uses less digits than its factorization.

105515772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8792988 (or 8792986 counting only the distinct ones).

The product of its (nonzero) digits is 12250, while the sum is 33.

The square root of 105515772 is about 10272.0870323416. The cubic root of 105515772 is about 472.5405983984.

The spelling of 105515772 in words is "one hundred five million, five hundred fifteen thousand, seven hundred seventy-two".