102657441 has 16 divisors (see below), whose sum is σ = 151231104. Its totient is φ = 61611264.

The previous prime is 102657421. The next prime is 102657479. The reversal of 102657441 is 144756201.

It is not a de Polignac number, because 102657441 - 2⁶ = 102657377 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102657399 and 102657408.

It is not an unprimeable number, because it can be changed into a prime (102657421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42586 + ... + 44931.

It is an arithmetic number, because the mean of its divisors is an integer number (9451944).

Almost surely, 2^102657441 is an apocalyptic number.

It is an amenable number.

102657441 is a deficient number, since it is larger than the sum of its proper divisors (48573663).

102657441 is a wasteful number, since it uses less digits than its factorization.

102657441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87560.

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 102657441 is about 10132.0008389261. Note that the first 3 decimals coincide. The cubic root of 102657441 is about 468.2345735815.

The spelling of 102657441 in words is "one hundred two million, six hundred fifty-seven thousand, four hundred forty-one".