102141004 has 48 divisors (see below), whose sum is σ = 210805056. Its totient is φ = 42393600.

The previous prime is 102140959. The next prime is 102141007. The reversal of 102141004 is 400141201.

It is not an unprimeable number, because it can be changed into a prime (102141007) 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 15 ways as a sum of consecutive naturals, for example, 221334 + ... + 221794.

It is an arithmetic number, because the mean of its divisors is an integer number (4391772).

Almost surely, 2^102141004 is an apocalyptic number.

102141004 is a gapful number since it is divisible by the number (14) 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 102141004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105402528).

102141004 is an abundant number, since it is smaller than the sum of its proper divisors (108664052).

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

102141004 is a wasteful number, since it uses less digits than its factorization.

102141004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 102141004 is about 10106.4832657062. The cubic root of 102141004 is about 467.4480733884.

Adding to 102141004 its reverse (400141201), we get a palindrome (502282205).

It can be divided in two parts, 1021 and 41004, that added together give a square (42025 = 205²).

The spelling of 102141004 in words is "one hundred two million, one hundred forty-one thousand, four".