102263020 has 48 divisors (see below), whose sum is σ = 221247936. Its totient is φ = 39680000.

The previous prime is 102263011. The next prime is 102263027. The reversal of 102263020 is 20362201.

It is a super-4 number, since 4×102263020⁴ (a number of 33 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102262985 and 102263003.

It is not an unprimeable number, because it can be changed into a prime (102263027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 254820 + ... + 255220.

It is an arithmetic number, because the mean of its divisors is an integer number (4609332).

Almost surely, 2^102263020 is an apocalyptic number.

102263020 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 102263020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110623968).

102263020 is an abundant number, since it is smaller than the sum of its proper divisors (118984916).

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

102263020 is a wasteful number, since it uses less digits than its factorization.

102263020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 102263020 is about 10112.5179851509. The cubic root of 102263020 is about 467.6341346353.

The spelling of 102263020 in words is "one hundred two million, two hundred sixty-three thousand, twenty".