102859456 has 56 divisors (see below), whose sum is σ = 234248960. Its totient is φ = 43898112.

The previous prime is 102859451. The next prime is 102859499. The reversal of 102859456 is 654958201.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (102859451) 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, 196411 + ... + 196933.

Almost surely, 2^102859456 is an apocalyptic number.

102859456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102859456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117124480).

102859456 is an abundant number, since it is smaller than the sum of its proper divisors (131389504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102859456 is an equidigital number, since it uses as much as digits as its factorization.

102859456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

The square root of 102859456 is about 10141.9650955818. The cubic root of 102859456 is about 468.5415116448.

The spelling of 102859456 in words is "one hundred two million, eight hundred fifty-nine thousand, four hundred fifty-six".