102284453376 has 480 divisors, whose sum is σ = 363636725760. Its totient is φ = 28275609600.

The previous prime is 102284453371. The next prime is 102284453423. The reversal of 102284453376 is 673354482201.

102284453376 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 8 + 44 + 533 + 76 = 666.

It is a super-3 number, since 3×102284453376³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102284453371) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20996221 + ... + 21001091.

It is an arithmetic number, because the mean of its divisors is an integer number (757576512).

Almost surely, 2^102284453376 is an apocalyptic number.

102284453376 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 102284453376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181818362880).

102284453376 is an abundant number, since it is smaller than the sum of its proper divisors (261352272384).

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

102284453376 is an equidigital number, since it uses as much as digits as its factorization.

102284453376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4943 (or 4914 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 102284453376 in words is "one hundred two billion, two hundred eighty-four million, four hundred fifty-three thousand, three hundred seventy-six".