102896226720 has 1536 divisors, whose sum is σ = 459841536000. Its totient is φ = 20961607680.

The previous prime is 102896226691. The next prime is 102896226743. The reversal of 102896226720 is 27622698201.

102896226720 is a `hidden beast` number, since 10 + 2 + 8 + 9 + 622 + 6 + 7 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 944002026 + ... + 944002134.

It is an arithmetic number, because the mean of its divisors is an integer number (299376000).

Almost surely, 2^102896226720 is an apocalyptic number.

102896226720 is a gapful number since it is divisible by the number (10) 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 102896226720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229920768000).

102896226720 is an abundant number, since it is smaller than the sum of its proper divisors (356945309280).

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

102896226720 is a wasteful number, since it uses less digits than its factorization.

102896226720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 102896226720 in words is "one hundred two billion, eight hundred ninety-six million, two hundred twenty-six thousand, seven hundred twenty".