102259872 has 216 divisors, whose sum is σ = 345316608. Its totient is φ = 28454400.

The previous prime is 102259849. The next prime is 102259873. The reversal of 102259872 is 278952201.

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

It is not an unprimeable number, because it can be changed into a prime (102259873) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 535297 + ... + 535487.

It is an arithmetic number, because the mean of its divisors is an integer number (1598688).

Almost surely, 2^102259872 is an apocalyptic number.

102259872 is a gapful number since it is divisible by the number (12) 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 102259872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172658304).

102259872 is an abundant number, since it is smaller than the sum of its proper divisors (243056736).

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

102259872 is a wasteful number, since it uses less digits than its factorization.

102259872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 102259872 is about 10112.3623352805. The cubic root of 102259872 is about 467.6293361351.

The spelling of 102259872 in words is "one hundred two million, two hundred fifty-nine thousand, eight hundred seventy-two".