55106624 has 28 divisors (see below), whose sum is σ = 112024668. Its totient is φ = 26880000.

The previous prime is 55106621. The next prime is 55106627. The reversal of 55106624 is 42660155.

It is an interprime number because it is at equal distance from previous prime (55106621) and next prime (55106627).

It can be written as a sum of positive squares in 2 ways, for example, as 6553600 + 48553024 = 2560^2 + 6968^2 .

It is not an unprimeable number, because it can be changed into a prime (55106621) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7877 + ... + 13124.

It is an arithmetic number, because the mean of its divisors is an integer number (4000881).

Almost surely, 2^55106624 is an apocalyptic number.

It is an amenable number.

55106624 is an abundant number, since it is smaller than the sum of its proper divisors (56918044).

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

55106624 is a wasteful number, since it uses less digits than its factorization.

55106624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21054 (or 21044 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 55106624 is about 7423.3835951000. The cubic root of 55106624 is about 380.5408365352.

Adding to 55106624 its reverse (42660155), we get a palindrome (97766779).

The spelling of 55106624 in words is "fifty-five million, one hundred six thousand, six hundred twenty-four".