102896286444 has 288 divisors, whose sum is σ = 327711121920. Its totient is φ = 27558392832.

The previous prime is 102896286421. The next prime is 102896286469. The reversal of 102896286444 is 444682698201.

It is a happy number.

102896286444 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 9 + 628 + 6 + 4 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31113039 + ... + 31116345.

It is an arithmetic number, because the mean of its divisors is an integer number (1137885840).

Almost surely, 2^102896286444 is an apocalyptic number.

102896286444 is a gapful number since it is divisible by the number (14) 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 102896286444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163855560960).

102896286444 is an abundant number, since it is smaller than the sum of its proper divisors (224814835476).

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

102896286444 is a wasteful number, since it uses less digits than its factorization.

102896286444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3619 (or 3605 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 102896286444 in words is "one hundred two billion, eight hundred ninety-six million, two hundred eighty-six thousand, four hundred forty-four".