102145296 has 120 divisors (see below), whose sum is σ = 297515680. Its totient is φ = 30159360.

The previous prime is 102145291. The next prime is 102145297. The reversal of 102145296 is 692541201.

It is a super-2 number, since 2×102145296² = 20867322989855232, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102145291) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 249540 + ... + 249948.

Almost surely, 2^102145296 is an apocalyptic number.

102145296 is a gapful number since it is divisible by the number (16) 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 102145296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148757840).

102145296 is an abundant number, since it is smaller than the sum of its proper divisors (195370384).

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

102145296 is a wasteful number, since it uses less digits than its factorization.

102145296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 102145296 is about 10106.6956024212. The cubic root of 102145296 is about 467.4546207394.

Adding to 102145296 its reverse (692541201), we get a palindrome (794686497).

The spelling of 102145296 in words is "one hundred two million, one hundred forty-five thousand, two hundred ninety-six".