102352020 has 96 divisors (see below), whose sum is σ = 301795200. Its totient is φ = 25880064.

The previous prime is 102351983. The next prime is 102352037. The reversal of 102352020 is 20253201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102162 + ... + 103158.

It is an arithmetic number, because the mean of its divisors is an integer number (3143700).

Almost surely, 2^102352020 is an apocalyptic number.

102352020 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 102352020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150897600).

102352020 is an abundant number, since it is smaller than the sum of its proper divisors (199443180).

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

102352020 is a wasteful number, since it uses less digits than its factorization.

102352020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 102352020 is about 10116.9175147374. The cubic root of 102352020 is about 467.7697567137.

The spelling of 102352020 in words is "one hundred two million, three hundred fifty-two thousand, twenty".