102076020 has 72 divisors (see below), whose sum is σ = 311141376. Its totient is φ = 27087552.

The previous prime is 102075971. The next prime is 102076021. The reversal of 102076020 is 20670201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102075984 and 102076002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102076021) 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 23 ways as a sum of consecutive naturals, for example, 38869 + ... + 41411.

It is an arithmetic number, because the mean of its divisors is an integer number (4321408).

Almost surely, 2^102076020 is an apocalyptic number.

102076020 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 102076020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155570688).

102076020 is an abundant number, since it is smaller than the sum of its proper divisors (209065356).

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

102076020 is a wasteful number, since it uses less digits than its factorization.

102076020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2781 (or 2776 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 102076020 is about 10103.2677881961. The cubic root of 102076020 is about 467.3489193146.

The spelling of 102076020 in words is "one hundred two million, seventy-six thousand, twenty".