102412820 has 24 divisors (see below), whose sum is σ = 215999784. Its totient is φ = 40787456.

The previous prime is 102412819. The next prime is 102412829. The reversal of 102412820 is 28214201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2172676 + 100240144 = 1474^2 + 10012^2 .

It is a super-3 number, since 3×102412820³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 102412792 and 102412801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102412829) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 6329 + ... + 15648.

It is an arithmetic number, because the mean of its divisors is an integer number (8999991).

Almost surely, 2^102412820 is an apocalyptic number.

102412820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102412820 is an abundant number, since it is smaller than the sum of its proper divisors (113586964).

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

102412820 is a wasteful number, since it uses less digits than its factorization.

102412820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22219 (or 22217 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 102412820 is about 10119.9219364578. The cubic root of 102412820 is about 467.8623612095.

The spelling of 102412820 in words is "one hundred two million, four hundred twelve thousand, eight hundred twenty".