102057249267 has 16 divisors (see below), whose sum is σ = 151440208000. Its totient is φ = 67928238792.

The previous prime is 102057249257. The next prime is 102057249293. The reversal of 102057249267 is 762942750201.

102057249267 is a `hidden beast` number, since 10 + 2 + 0 + 572 + 4 + 9 + 2 + 67 = 666.

It is not a de Polignac number, because 102057249267 - 2³² = 97762281971 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102057249227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3036517 + ... + 3069942.

It is an arithmetic number, because the mean of its divisors is an integer number (9465013000).

Almost surely, 2^102057249267 is an apocalyptic number.

102057249267 is a deficient number, since it is larger than the sum of its proper divisors (49382958733).

102057249267 is an equidigital number, since it uses as much as digits as its factorization.

102057249267 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6107087 (or 6107081 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

Adding to 102057249267 its reverse (762942750201), we get a palindrome (864999999468).

The spelling of 102057249267 in words is "one hundred two billion, fifty-seven million, two hundred forty-nine thousand, two hundred sixty-seven".