102667041 has 8 divisors (see below), whose sum is σ = 152099360. Its totient is φ = 68444676.

The previous prime is 102667039. The next prime is 102667043. The reversal of 102667041 is 140766201.

It is an interprime number because it is at equal distance from previous prime (102667039) and next prime (102667043).

It is not a de Polignac number, because 102667041 - 2¹ = 102667039 is a prime.

It is a super-4 number, since 4×102667041⁴ (a number of 33 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 3802483 = 102667041 / (1 + 0 + 2 + 6 + 6 + 7 + 0 + 4 + 1).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102666996 and 102667014.

It is not an unprimeable number, because it can be changed into a prime (102667043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1901215 + ... + 1901268.

It is an arithmetic number, because the mean of its divisors is an integer number (19012420).

Almost surely, 2^102667041 is an apocalyptic number.

It is an amenable number.

102667041 is a deficient number, since it is larger than the sum of its proper divisors (49432319).

102667041 is an equidigital number, since it uses as much as digits as its factorization.

102667041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3802492 (or 3802486 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 102667041 is about 10132.4745743574. The cubic root of 102667041 is about 468.2491687625.

The spelling of 102667041 in words is "one hundred two million, six hundred sixty-seven thousand, forty-one".