102140000 has 60 divisors (see below), whose sum is σ = 251328924. Its totient is φ = 40848000.

The previous prime is 102139993. The next prime is 102140011. The reversal of 102140000 is 41201.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 102140000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 17447 + ... + 22553.

Almost surely, 2^102140000 is an apocalyptic number.

102140000 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 102140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125664462).

102140000 is an abundant number, since it is smaller than the sum of its proper divisors (149188924).

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

102140000 is an frugal number, since it uses more digits than its factorization.

102140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5137 (or 5114 counting only the distinct ones).

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

The square root of 102140000 is about 10106.4335944981. The cubic root of 102140000 is about 467.4465417821.

Adding to 102140000 its reverse (41201), we get a palindrome (102181201).

The spelling of 102140000 in words is "one hundred two million, one hundred forty thousand".