10057641 has 24 divisors (see below), whose sum is σ = 14938560. Its totient is φ = 6013920.

The previous prime is 10057633. The next prime is 10057643. The reversal of 10057641 is 14675001.

It is not a de Polignac number, because 10057641 - 2³ = 10057633 is a prime.

It is a super-2 number, since 2×10057641² = 202312284969762, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10057643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37255 + ... + 37523.

It is an arithmetic number, because the mean of its divisors is an integer number (622440).

Almost surely, 2^10057641 is an apocalyptic number.

10057641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10057641 is a deficient number, since it is larger than the sum of its proper divisors (4880919).

10057641 is a wasteful number, since it uses less digits than its factorization.

10057641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 10057641 is about 3171.3784069392. The cubic root of 10057641 is about 215.8566220984.

It can be divided in two parts, 1005 and 7641, that added together give a triangular number (8646 = T₁₃₁).

The spelling of 10057641 in words is "ten million, fifty-seven thousand, six hundred forty-one".