102180000 has 240 divisors, whose sum is σ = 363708576. Its totient is φ = 24960000.

The previous prime is 102179981. The next prime is 102180011. The reversal of 102180000 is 81201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 779935 + ... + 780065.

Almost surely, 2^102180000 is an apocalyptic number.

102180000 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 102180000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181854288).

102180000 is an abundant number, since it is smaller than the sum of its proper divisors (261528576).

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

102180000 is a wasteful number, since it uses less digits than its factorization.

102180000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 102180000 is about 10108.4123382458. The cubic root of 102180000 is about 467.5075541879.

The spelling of 102180000 in words is "one hundred two million, one hundred eighty thousand".