105652144 has 40 divisors (see below), whose sum is σ = 233422560. Its totient is φ = 45892608.

The previous prime is 105652139. The next prime is 105652153. The reversal of 105652144 is 441256501.

It is a super-2 number, since 2×105652144² = 22324751063593472, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 11404 + ... + 18475.

It is an arithmetic number, because the mean of its divisors is an integer number (5835564).

Almost surely, 2^105652144 is an apocalyptic number.

It is an amenable number.

105652144 is an abundant number, since it is smaller than the sum of its proper divisors (127770416).

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

105652144 is a wasteful number, since it uses less digits than its factorization.

105652144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29917 (or 29911 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 105652144 is about 10278.7228778677. The cubic root of 105652144 is about 472.7440863484.

The spelling of 105652144 in words is "one hundred five million, six hundred fifty-two thousand, one hundred forty-four".