102645600 has 144 divisors (see below), whose sum is σ = 351852480. Its totient is φ = 25920000.

The previous prime is 102645589. The next prime is 102645607. The reversal of 102645600 is 6546201.

It is a super-2 number, since 2×102645600² = 21072238398720000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102645607) 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, 44475 + ... + 46725.

It is an arithmetic number, because the mean of its divisors is an integer number (2443420).

Almost surely, 2^102645600 is an apocalyptic number.

102645600 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 102645600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175926240).

102645600 is an abundant number, since it is smaller than the sum of its proper divisors (249206880).

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

102645600 is a wasteful number, since it uses less digits than its factorization.

102645600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2293 (or 2280 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 102645600 is about 10131.4164853687. The cubic root of 102645600 is about 468.2165700845.

It can be divided in two parts, 1026 and 45600, that multiplied together give a square (46785600 = 6840²).

The spelling of 102645600 in words is "one hundred two million, six hundred forty-five thousand, six hundred".