102645760 has 120 divisors (see below), whose sum is σ = 283106880. Its totient is φ = 34996224.

The previous prime is 102645731. The next prime is 102645769. The reversal of 102645760 is 67546201.

It is a happy number.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (102645769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 573351 + ... + 573529.

It is an arithmetic number, because the mean of its divisors is an integer number (2359224).

Almost surely, 2^102645760 is an apocalyptic number.

102645760 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 102645760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141553440).

102645760 is an abundant number, since it is smaller than the sum of its proper divisors (180461120).

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

102645760 is an frugal number, since it uses more digits than its factorization.

102645760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 102645760 is about 10131.4243815961. The cubic root of 102645760 is about 468.2168133637.

The spelling of 102645760 in words is "one hundred two million, six hundred forty-five thousand, seven hundred sixty".