102669600 has 144 divisors (see below), whose sum is σ = 364664160. Its totient is φ = 24883200.

The previous prime is 102669587. The next prime is 102669601. The reversal of 102669600 is 6966201.

It is a super-4 number, since 4×102669600⁴ (a number of 33 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (102669601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24456 + ... + 28344.

It is an arithmetic number, because the mean of its divisors is an integer number (2532390).

Almost surely, 2^102669600 is an apocalyptic number.

102669600 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 102669600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182332080).

102669600 is an abundant number, since it is smaller than the sum of its proper divisors (261994560).

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

102669600 is a wasteful number, since it uses less digits than its factorization.

102669600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3923 (or 3910 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 102669600 is about 10132.6008507194. The cubic root of 102669600 is about 468.2530591368.

The spelling of 102669600 in words is "one hundred two million, six hundred sixty-nine thousand, six hundred".