102186845748 has 108 divisors (see below), whose sum is σ = 282474780588. Its totient is φ = 31130611200.

The previous prime is 102186845743. The next prime is 102186845749. The reversal of 102186845748 is 847548681201.

102186845748 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 8 + 68 + 4 + 574 + 8 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 7364729124 + 94822116624 = 85818^2 + 307932^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102186845694 and 102186845703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102186845743) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 531336 + ... + 697632.

Almost surely, 2^102186845748 is an apocalyptic number.

102186845748 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 102186845748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141237390294).

102186845748 is an abundant number, since it is smaller than the sum of its proper divisors (180287934840).

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

102186845748 is a wasteful number, since it uses less digits than its factorization.

102186845748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166434 (or 166416 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 102186845748 in words is "one hundred two billion, one hundred eighty-six million, eight hundred forty-five thousand, seven hundred forty-eight".