102671118 has 64 divisors (see below), whose sum is σ = 251043840. Its totient is φ = 30844800.

The previous prime is 102671111. The next prime is 102671131. The reversal of 102671118 is 811176201.

It is a super-4 number, since 4×102671118⁴ (a number of 33 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102671091 and 102671100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102671111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74758 + ... + 76118.

It is an arithmetic number, because the mean of its divisors is an integer number (3922560).

Almost surely, 2^102671118 is an apocalyptic number.

102671118 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102671118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125521920).

102671118 is an abundant number, since it is smaller than the sum of its proper divisors (148372722).

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

102671118 is a wasteful number, since it uses less digits than its factorization.

102671118 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

The square root of 102671118 is about 10132.6757571729. The cubic root of 102671118 is about 468.2553668781.

The spelling of 102671118 in words is "one hundred two million, six hundred seventy-one thousand, one hundred eighteen".