102141000 has 320 divisors, whose sum is σ = 388468080. Its totient is φ = 24883200.

The previous prime is 102140959. The next prime is 102141007. The reversal of 102141000 is 141201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 171396 + 101969604 = 414^2 + 10098^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (102141007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1052952 + ... + 1053048.

Almost surely, 2^102141000 is an apocalyptic number.

102141000 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 102141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194234040).

102141000 is an abundant number, since it is smaller than the sum of its proper divisors (286327080).

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

102141000 is a wasteful number, since it uses less digits than its factorization.

102141000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 102141000 is about 10106.4830678135. The cubic root of 102141000 is about 467.4480672864.

Adding to 102141000 its reverse (141201), we get a palindrome (102282201).

The spelling of 102141000 in words is "one hundred two million, one hundred forty-one thousand".