102457216 has 16 divisors (see below), whose sum is σ = 204114240. Its totient is φ = 51228544.

The previous prime is 102457211. The next prime is 102457219. The reversal of 102457216 is 612754201.

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-2 number, since 2×102457216² = 20994962220941312, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102457211) 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 as a sum of consecutive naturals, namely, 400096 + ... + 400351.

It is an arithmetic number, because the mean of its divisors is an integer number (12757140).

Almost surely, 2^102457216 is an apocalyptic number.

102457216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

102457216 is a deficient number, since it is larger than the sum of its proper divisors (101657024).

102457216 is an frugal number, since it uses more digits than its factorization.

102457216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800461 (or 800449 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 102457216 is about 10122.1151939701. The cubic root of 102457216 is about 467.9299576187.

The spelling of 102457216 in words is "one hundred two million, four hundred fifty-seven thousand, two hundred sixteen".