102057641 has 12 divisors (see below), whose sum is σ = 122815620. Its totient is φ = 84460320.

The previous prime is 102057629. The next prime is 102057661. The reversal of 102057641 is 146750201.

It can be written as a sum of positive squares in 2 ways, for example, as 16032016 + 86025625 = 4004^2 + 9275^2 .

It is not a de Polignac number, because 102057641 - 2¹⁴ = 102041257 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102057641.

It is not an unprimeable number, because it can be changed into a prime (102057661) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34490 + ... + 37331.

It is an arithmetic number, because the mean of its divisors is an integer number (10234635).

Almost surely, 2^102057641 is an apocalyptic number.

It is an amenable number.

102057641 is a deficient number, since it is larger than the sum of its proper divisors (20757979).

102057641 is an equidigital number, since it uses as much as digits as its factorization.

102057641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71864 (or 71857 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 102057641 is about 10102.3581900465. The cubic root of 102057641 is about 467.3208685822.

The spelling of 102057641 in words is "one hundred two million, fifty-seven thousand, six hundred forty-one".