102454087680 has 1248 divisors, whose sum is σ = 448230392064. Its totient is φ = 21913141248.

The previous prime is 102454087633. The next prime is 102454087709. The reversal of 102454087680 is 86780454201.

102454087680 is a `hidden beast` number, since 1 + 0 + 24 + 540 + 8 + 7 + 6 + 80 = 666.

It is a super-2 number, since 2×102454087680² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 592220074 + ... + 592220246.

It is an arithmetic number, because the mean of its divisors is an integer number (359158968).

Almost surely, 2^102454087680 is an apocalyptic number.

102454087680 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 102454087680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224115196032).

102454087680 is an abundant number, since it is smaller than the sum of its proper divisors (345776304384).

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

102454087680 is an equidigital number, since it uses as much as digits as its factorization.

102454087680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 102454087680 in words is "one hundred two billion, four hundred fifty-four million, eighty-seven thousand, six hundred eighty".