102256840 has 64 divisors (see below), whose sum is σ = 264591360. Its totient is φ = 34840320.

The previous prime is 102256837. The next prime is 102256849. The reversal of 102256840 is 48652201.

It is a super-2 number, since 2×102256840² = 20912922653571200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 102256799 and 102256808.

It is not an unprimeable number, because it can be changed into a prime (102256849) 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, 47385 + ... + 49495.

It is an arithmetic number, because the mean of its divisors is an integer number (4134240).

Almost surely, 2^102256840 is an apocalyptic number.

102256840 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 102256840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132295680).

102256840 is an abundant number, since it is smaller than the sum of its proper divisors (162334520).

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

102256840 is a wasteful number, since it uses less digits than its factorization.

102256840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2302 (or 2298 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 102256840 is about 10112.2124186550. The cubic root of 102256840 is about 467.6247143608.

The spelling of 102256840 in words is "one hundred two million, two hundred fifty-six thousand, eight hundred forty".