10055661 has 32 divisors (see below), whose sum is σ = 16920576. Its totient is φ = 5160000.

The previous prime is 10055651. The next prime is 10055711. The reversal of 10055661 is 16655001.

It is not a de Polignac number, because 10055661 - 2⁵ = 10055629 is a prime.

It is a super-2 number, since 2×10055661² = 202232636293842, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10055621) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23116 + ... + 23546.

It is an arithmetic number, because the mean of its divisors is an integer number (528768).

Almost surely, 2^10055661 is an apocalyptic number.

10055661 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10055661 is a deficient number, since it is larger than the sum of its proper divisors (6864915).

10055661 is a wasteful number, since it uses less digits than its factorization.

10055661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553.

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 10055661 is about 3171.0662244740. The cubic root of 10055661 is about 215.8424562795.

It can be divided in two parts, 1005 and 5661, that added together give a palindrome (6666).

The spelling of 10055661 in words is "ten million, fifty-five thousand, six hundred sixty-one".