102070800 has 240 divisors, whose sum is σ = 391780480. Its totient is φ = 25090560.

The previous prime is 102070799. The next prime is 102070841. The reversal of 102070800 is 8070201.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140037 + ... + 140763.

Almost surely, 2^102070800 is an apocalyptic number.

102070800 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 102070800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195890240).

102070800 is an abundant number, since it is smaller than the sum of its proper divisors (289709680).

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

102070800 is a wasteful number, since it uses less digits than its factorization.

102070800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 102070800 is about 10103.0094526334. The cubic root of 102070800 is about 467.3409526934.

The spelling of 102070800 in words is "one hundred two million, seventy thousand, eight hundred".