102279936 has 72 divisors (see below), whose sum is σ = 296985024. Its totient is φ = 30991360.

The previous prime is 102279923. The next prime is 102279937. The reversal of 102279936 is 639972201.

It is a super-2 number, since 2×102279936² = 20922370616328192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102279894 and 102279903.

It is not an unprimeable number, because it can be changed into a prime (102279937) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2395 + ... + 14501.

It is an arithmetic number, because the mean of its divisors is an integer number (4124792).

Almost surely, 2^102279936 is an apocalyptic number.

102279936 is a gapful number since it is divisible by the number (16) 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 102279936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148492512).

102279936 is an abundant number, since it is smaller than the sum of its proper divisors (194705088).

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

102279936 is a wasteful number, since it uses less digits than its factorization.

102279936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12137 (or 12123 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 102279936 is about 10113.3543396837. The cubic root of 102279936 is about 467.6599180283.

The spelling of 102279936 in words is "one hundred two million, two hundred seventy-nine thousand, nine hundred thirty-six".