102120192 has 108 divisors (see below), whose sum is σ = 297606400. Its totient is φ = 33675264.

The previous prime is 102120181. The next prime is 102120197. The reversal of 102120192 is 291021201.

It is a super-2 number, since 2×102120192² = 20857067228233728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (102120197) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 292434 + ... + 292782.

Almost surely, 2^102120192 is an apocalyptic number.

102120192 is a gapful number since it is divisible by the number (12) 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 102120192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148803200).

102120192 is an abundant number, since it is smaller than the sum of its proper divisors (195486208).

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

102120192 is a wasteful number, since it uses less digits than its factorization.

102120192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 102120192 is about 10105.4535771533. The cubic root of 102120192 is about 467.4163225415.

Adding to 102120192 its reverse (291021201), we get a palindrome (393141393).

The spelling of 102120192 in words is "one hundred two million, one hundred twenty thousand, one hundred ninety-two".