102968220 has 96 divisors (see below), whose sum is σ = 311028480. Its totient is φ = 25367040.

The previous prime is 102968219. The next prime is 102968231. The reversal of 102968220 is 22869201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45639 + ... + 47841.

It is an arithmetic number, because the mean of its divisors is an integer number (3239880).

Almost surely, 2^102968220 is an apocalyptic number.

102968220 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 102968220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155514240).

102968220 is an abundant number, since it is smaller than the sum of its proper divisors (208060260).

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

102968220 is a wasteful number, since it uses less digits than its factorization.

102968220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2275 (or 2273 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 102968220 is about 10147.3257560798. The cubic root of 102968220 is about 468.7065993595.

The spelling of 102968220 in words is "one hundred two million, nine hundred sixty-eight thousand, two hundred twenty".