102007185408000 has 3808 divisors, whose sum is σ = 429094158105600. Its totient is φ = 24078974976000.

The previous prime is 102007185407977. The next prime is 102007185408097. The reversal of 102007185408000 is 804581700201.

102007185408000 is a `hidden beast` number, since 1 + 0 + 20 + 0 + 7 + 18 + 540 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 3290554367985 + ... + 3290554368015.

Almost surely, 2^{102007185408000} is an apocalyptic number.

102007185408000 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 102007185408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214547079052800).

102007185408000 is an abundant number, since it is smaller than the sum of its proper divisors (327086972697600).

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

102007185408000 is an frugal number, since it uses more digits than its factorization.

102007185408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 102007185408000 in words is "one hundred two trillion, seven billion, one hundred eighty-five million, four hundred eight thousand".