102074580000 has 420 divisors, whose sum is σ = 376559710758. Its totient is φ = 27216000000.

The previous prime is 102074579983. The next prime is 102074580001. The reversal of 102074580000 is 85470201.

102074580000 is a `hidden beast` number, since 1 + 0 + 207 + 458 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 499790736 + 101574789264 = 22356^2 + 318708^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (102074580001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 14576500 + ... + 14583500.

Almost surely, 2^102074580000 is an apocalyptic number.

102074580000 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 102074580000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188279855379).

102074580000 is an abundant number, since it is smaller than the sum of its proper divisors (274485130758).

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

102074580000 is an frugal number, since it uses more digits than its factorization.

102074580000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7049 (or 7011 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The spelling of 102074580000 in words is "one hundred two billion, seventy-four million, five hundred eighty thousand".