102049920 has 192 divisors, whose sum is σ = 402891840. Its totient is φ = 23316480.

The previous prime is 102049901. The next prime is 102049921. The reversal of 102049920 is 29940201.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (102049921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39055 + ... + 41585.

It is an arithmetic number, because the mean of its divisors is an integer number (2098395).

Almost surely, 2^102049920 is an apocalyptic number.

102049920 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 102049920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201445920).

102049920 is an abundant number, since it is smaller than the sum of its proper divisors (300841920).

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

102049920 is a wasteful number, since it uses less digits than its factorization.

102049920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2563 (or 2548 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 102049920 is about 10101.9760443192. The cubic root of 102049920 is about 467.3090834924.

The spelling of 102049920 in words is "one hundred two million, forty-nine thousand, nine hundred twenty".