102755040 has 144 divisors (see below), whose sum is σ = 342186768. Its totient is φ = 25915392.

The previous prime is 102755027. The next prime is 102755057. The reversal of 102755040 is 40557201.

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

It is a self number, because there is not a number n which added to its sum of digits gives 102755040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172984 + ... + 173576.

It is an arithmetic number, because the mean of its divisors is an integer number (2376297).

Almost surely, 2^102755040 is an apocalyptic number.

102755040 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 102755040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171093384).

102755040 is an abundant number, since it is smaller than the sum of its proper divisors (239431728).

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

102755040 is a wasteful number, since it uses less digits than its factorization.

102755040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 102755040 is about 10136.8160681745. The cubic root of 102755040 is about 468.3829140261.

The spelling of 102755040 in words is "one hundred two million, seven hundred fifty-five thousand, forty".