102270600 has 240 divisors, whose sum is σ = 364597200. Its totient is φ = 26559360.

The previous prime is 102270593. The next prime is 102270607. The reversal of 102270600 is 6072201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102270593) and next prime (102270607).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (102270607) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 955747 + ... + 955853.

It is an arithmetic number, because the mean of its divisors is an integer number (1519155).

Almost surely, 2^102270600 is an apocalyptic number.

102270600 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 102270600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182298600).

102270600 is an abundant number, since it is smaller than the sum of its proper divisors (262326600).

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

102270600 is a wasteful number, since it uses less digits than its factorization.

102270600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 102270600 is about 10112.8927612232. The cubic root of 102270600 is about 467.6456884344.

The spelling of 102270600 in words is "one hundred two million, two hundred seventy thousand, six hundred".