102362120 has 128 divisors (see below), whose sum is σ = 282009600. Its totient is φ = 32659200.

The previous prime is 102362111. The next prime is 102362147. The reversal of 102362120 is 21263201.

It is a super-2 number, since 2×102362120² = 20956007221788800, which contains 22 as substring.

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, 377585 + ... + 377855.

It is an arithmetic number, because the mean of its divisors is an integer number (2203200).

Almost surely, 2^102362120 is an apocalyptic number.

102362120 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 102362120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141004800).

102362120 is an abundant number, since it is smaller than the sum of its proper divisors (179647480).

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

102362120 is a wasteful number, since it uses less digits than its factorization.

102362120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 102362120 is about 10117.4166663235. The cubic root of 102362120 is about 467.7851425659.

The spelling of 102362120 in words is "one hundred two million, three hundred sixty-two thousand, one hundred twenty".