102267828 has 36 divisors (see below), whose sum is σ = 278397028. Its totient is φ = 31466880.

The previous prime is 102267811. The next prime is 102267839. The reversal of 102267828 is 828762201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4613904 + 97653924 = 2148^2 + 9882^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 102267792 and 102267801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108793 + ... + 109728.

Almost surely, 2^102267828 is an apocalyptic number.

102267828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

102267828 is an abundant number, since it is smaller than the sum of its proper divisors (176129200).

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

102267828 is a wasteful number, since it uses less digits than its factorization.

102267828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218544 (or 218539 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 102267828 is about 10112.7557075211. The cubic root of 102267828 is about 467.6414632854.

The spelling of 102267828 in words is "one hundred two million, two hundred sixty-seven thousand, eight hundred twenty-eight".