102949200 has 90 divisors (see below), whose sum is σ = 357274814. Its totient is φ = 27452160.

The previous prime is 102949193. The next prime is 102949211. The reversal of 102949200 is 2949201.

It can be written as a sum of positive squares in 3 ways, for example, as 33593616 + 69355584 = 5796^2 + 8328^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-3 number, since 3×102949200³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10699 + ... + 17898.

Almost surely, 2^102949200 is an apocalyptic number.

102949200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102949200 is an abundant number, since it is smaller than the sum of its proper divisors (254325614).

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

102949200 is a wasteful number, since it uses less digits than its factorization.

102949200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28621 (or 28607 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 102949200 is about 10146.3885200597. The cubic root of 102949200 is about 468.6777381941.

Subtracting from 102949200 its reverse (2949201), we obtain a palindrome (99999999).

The spelling of 102949200 in words is "one hundred two million, nine hundred forty-nine thousand, two hundred".