102006671140 has 216 divisors, whose sum is σ = 251987699880. Its totient is φ = 34651668480.

The previous prime is 102006671057. The next prime is 102006671159. The reversal of 102006671140 is 41176600201.

It can be written as a sum of positive squares in 12 ways, for example, as 32322286656 + 69684384484 = 179784^2 + 263978^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102006671099 and 102006671108.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 109802196 + ... + 109803124.

Almost surely, 2^102006671140 is an apocalyptic number.

102006671140 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 102006671140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125993849940).

102006671140 is an abundant number, since it is smaller than the sum of its proper divisors (149981028740).

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

102006671140 is a wasteful number, since it uses less digits than its factorization.

102006671140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

It can be divided in two parts, 102006 and 671140, that added together give a triangular number (773146 = T₁₂₄₃).

The spelling of 102006671140 in words is "one hundred two billion, six million, six hundred seventy-one thousand, one hundred forty".