102041820 has 72 divisors (see below), whose sum is σ = 327744144. Its totient is φ = 25609728.

The previous prime is 102041773. The next prime is 102041861. The reversal of 102041820 is 28140201.

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

102041820 is a modest number, since divided by 41820 gives 1020 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 102041793 and 102041802.

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, 13614 + ... + 19733.

It is an arithmetic number, because the mean of its divisors is an integer number (4552002).

Almost surely, 2^102041820 is an apocalyptic number.

102041820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102041820 is an abundant number, since it is smaller than the sum of its proper divisors (225702324).

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

102041820 is a wasteful number, since it uses less digits than its factorization.

102041820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33379 (or 33374 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 102041820 is about 10101.5751247021. The cubic root of 102041820 is about 467.2967192699.

The spelling of 102041820 in words is "one hundred two million, forty-one thousand, eight hundred twenty".