102012000 has 96 divisors (see below), whose sum is σ = 334230624. Its totient is φ = 27200000.

The previous prime is 102011999. The next prime is 102012013. The reversal of 102012000 is 210201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 102012000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7750 + ... + 16250.

It is an arithmetic number, because the mean of its divisors is an integer number (3481569).

Almost surely, 2^102012000 is an apocalyptic number.

102012000 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 102012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167115312).

102012000 is an abundant number, since it is smaller than the sum of its proper divisors (232218624).

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

102012000 is an equidigital number, since it uses as much as digits as its factorization.

102012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8529 (or 8511 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 102012000 is about 10100.0990094157. The cubic root of 102012000 is about 467.2511949748.

Adding to 102012000 its reverse (210201), we get a palindrome (102222201).

The spelling of 102012000 in words is "one hundred two million, twelve thousand".