102671200 has 36 divisors (see below), whose sum is σ = 250648020. Its totient is φ = 41068160.

The previous prime is 102671197. The next prime is 102671203. The reversal of 102671200 is 2176201.

It is an interprime number because it is at equal distance from previous prime (102671197) and next prime (102671203).

It is a super-4 number, since 4×102671200⁴ (a number of 33 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102671203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 63370 + ... + 64969.

It is an arithmetic number, because the mean of its divisors is an integer number (6962445).

Almost surely, 2^102671200 is an apocalyptic number.

102671200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102671200 is an abundant number, since it is smaller than the sum of its proper divisors (147976820).

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

102671200 is a wasteful number, since it uses less digits than its factorization.

102671200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128359 (or 128346 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 102671200 is about 10132.6798034873. The cubic root of 102671200 is about 468.2554915381.

The spelling of 102671200 in words is "one hundred two million, six hundred seventy-one thousand, two hundred".