102061036800 has 1080 divisors, whose sum is σ = 411674260536. Its totient is φ = 24843386880.

The previous prime is 102061036799. The next prime is 102061036801. The reversal of 102061036800 is 8630160201.

102061036800 is a `hidden beast` number, since 10 + 2 + 0 + 610 + 36 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (102061036799) and next prime (102061036801).

It can be written as a sum of positive squares in 12 ways, for example, as 24501014784 + 77560022016 = 156528^2 + 278496^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102061036801) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 326073444 + ... + 326073756.

Almost surely, 2^102061036800 is an apocalyptic number.

102061036800 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 102061036800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205837130268).

102061036800 is an abundant number, since it is smaller than the sum of its proper divisors (309613223736).

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

102061036800 is a wasteful number, since it uses less digits than its factorization.

102061036800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 102061036800 in words is "one hundred two billion, sixty-one million, thirty-six thousand, eight hundred".