102256032 has 48 divisors (see below), whose sum is σ = 269861760. Its totient is φ = 33902592.

The previous prime is 102255983. The next prime is 102256079. The reversal of 102256032 is 230652201.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15769 + ... + 21287.

It is an arithmetic number, because the mean of its divisors is an integer number (5622120).

Almost surely, 2^102256032 is an apocalyptic number.

102256032 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 102256032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134930880).

102256032 is an abundant number, since it is smaller than the sum of its proper divisors (167605728).

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

102256032 is a wasteful number, since it uses less digits than its factorization.

102256032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5725 (or 5717 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 102256032 is about 10112.1724668837. The cubic root of 102256032 is about 467.6234826852.

The spelling of 102256032 in words is "one hundred two million, two hundred fifty-six thousand, thirty-two".