102557967 has 8 divisors (see below), whose sum is σ = 139924224. Its totient is φ = 66781848.

The previous prime is 102557963. The next prime is 102557971. The reversal of 102557967 is 769755201.

It is an interprime number because it is at equal distance from previous prime (102557963) and next prime (102557971).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 102557967 - 2² = 102557963 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102557963) 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, 397383 + ... + 397640.

It is an arithmetic number, because the mean of its divisors is an integer number (17490528).

Almost surely, 2^102557967 is an apocalyptic number.

102557967 is a deficient number, since it is larger than the sum of its proper divisors (37366257).

102557967 is an equidigital number, since it uses as much as digits as its factorization.

102557967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795069.

The product of its (nonzero) digits is 132300, while the sum is 42.

The square root of 102557967 is about 10127.0907471001. The cubic root of 102557967 is about 468.0832865506.

The spelling of 102557967 in words is "one hundred two million, five hundred fifty-seven thousand, nine hundred sixty-seven".