102955200 has 168 divisors, whose sum is σ = 342991440. Its totient is φ = 27033600.

The previous prime is 102955159. The next prime is 102955207. The reversal of 102955200 is 2559201.

It is a super-3 number, since 3×102955200³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (102955207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 427080 + ... + 427320.

Almost surely, 2^102955200 is an apocalyptic number.

102955200 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 102955200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171495720).

102955200 is an abundant number, since it is smaller than the sum of its proper divisors (240036240).

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

102955200 is a wasteful number, since it uses less digits than its factorization.

102955200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 102955200 is about 10146.6841874575. The cubic root of 102955200 is about 468.6868430465.

The spelling of 102955200 in words is "one hundred two million, nine hundred fifty-five thousand, two hundred".