102076000 has 144 divisors (see below), whose sum is σ = 273375648. Its totient is φ = 37440000.

The previous prime is 102075971. The next prime is 102076021. The reversal of 102076000 is 670201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 675925 + ... + 676075.

It is an arithmetic number, because the mean of its divisors is an integer number (1898442).

Almost surely, 2^102076000 is an apocalyptic number.

102076000 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 102076000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136687824).

102076000 is an abundant number, since it is smaller than the sum of its proper divisors (171299648).

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

102076000 is a wasteful number, since it uses less digits than its factorization.

102076000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 102076000 is about 10103.2667984172. The cubic root of 102076000 is about 467.3488887917.

The spelling of 102076000 in words is "one hundred two million, seventy-six thousand".