102351220 has 48 divisors (see below), whose sum is σ = 228423888. Its totient is φ = 38389760.

The previous prime is 102351209. The next prime is 102351251. The reversal of 102351220 is 22153201.

It can be written as a sum of positive squares in 8 ways, for example, as 2471184 + 99880036 = 1572^2 + 9994^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102351194 and 102351203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156414 + ... + 157066.

It is an arithmetic number, because the mean of its divisors is an integer number (4758831).

Almost surely, 2^102351220 is an apocalyptic number.

102351220 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 102351220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114211944).

102351220 is an abundant number, since it is smaller than the sum of its proper divisors (126072668).

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

102351220 is a wasteful number, since it uses less digits than its factorization.

102351220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 102351220 is about 10116.8779769255. The cubic root of 102351220 is about 467.7685379891.

The spelling of 102351220 in words is "one hundred two million, three hundred fifty-one thousand, two hundred twenty".