102364257 has 8 divisors (see below), whose sum is σ = 136710784. Its totient is φ = 68130288.

The previous prime is 102364243. The next prime is 102364277. The reversal of 102364257 is 752463201.

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

It is not a de Polignac number, because 102364257 - 2¹² = 102360161 is a prime.

It is a super-2 number, since 2×102364257² = 20956882222324098, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102364217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25993 + ... + 29670.

It is an arithmetic number, because the mean of its divisors is an integer number (17088848).

Almost surely, 2^102364257 is an apocalyptic number.

It is an amenable number.

102364257 is a deficient number, since it is larger than the sum of its proper divisors (34346527).

102364257 is an equidigital number, since it uses as much as digits as its factorization.

102364257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56279.

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 102364257 is about 10117.5222757353. The cubic root of 102364257 is about 467.7883978388.

The spelling of 102364257 in words is "one hundred two million, three hundred sixty-four thousand, two hundred fifty-seven".