102886896 has 80 divisors (see below), whose sum is σ = 314265600. Its totient is φ = 28379904.

The previous prime is 102886877. The next prime is 102886897. The reversal of 102886896 is 698688201.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102886897) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4465 + ... + 15023.

It is an arithmetic number, because the mean of its divisors is an integer number (3928320).

Almost surely, 2^102886896 is an apocalyptic number.

102886896 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 102886896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157132800).

102886896 is an abundant number, since it is smaller than the sum of its proper divisors (211378704).

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

102886896 is a wasteful number, since it uses less digits than its factorization.

102886896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10606 (or 10600 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The square root of 102886896 is about 10143.3178004044. The cubic root of 102886896 is about 468.5831724911.

The spelling of 102886896 in words is "one hundred two million, eight hundred eighty-six thousand, eight hundred ninety-six".