102675771828 has 192 divisors, whose sum is σ = 322364689920. Its totient is φ = 27589330944.

The previous prime is 102675771769. The next prime is 102675771841. The reversal of 102675771828 is 828177576201.

102675771828 is a `hidden beast` number, since 1 + 0 + 2 + 67 + 577 + 1 + 8 + 2 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24840850 + ... + 24844982.

It is an arithmetic number, because the mean of its divisors is an integer number (1678982760).

Almost surely, 2^102675771828 is an apocalyptic number.

102675771828 is a gapful number since it is divisible by the number (18) 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 102675771828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161182344960).

102675771828 is an abundant number, since it is smaller than the sum of its proper divisors (219688918092).

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

102675771828 is a wasteful number, since it uses less digits than its factorization.

102675771828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6103 (or 6095 counting only the distinct ones).

The product of its (nonzero) digits is 2634240, while the sum is 54.

It can be divided in two parts, 102675 and 771828, that added together give a triangular number (874503 = T₁₃₂₂).

The spelling of 102675771828 in words is "one hundred two billion, six hundred seventy-five million, seven hundred seventy-one thousand, eight hundred twenty-eight".