102840192 has 320 divisors, whose sum is σ = 380133600. Its totient is φ = 26873856.

The previous prime is 102840173. The next prime is 102840197. The reversal of 102840192 is 291048201.

It is a super-2 number, since 2×102840192² = 21152210181193728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102840197) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 943434 + ... + 943542.

Almost surely, 2^102840192 is an apocalyptic number.

102840192 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 102840192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190066800).

102840192 is an abundant number, since it is smaller than the sum of its proper divisors (277293408).

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

102840192 is a wasteful number, since it uses less digits than its factorization.

102840192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 102840192 is about 10141.0153337819. The cubic root of 102840192 is about 468.5122596033.

Adding to 102840192 its reverse (291048201), we get a palindrome (393888393).

The spelling of 102840192 in words is "one hundred two million, eight hundred forty thousand, one hundred ninety-two".