100065900156000 has 1536 divisors, whose sum is σ = 365781994905600. Its totient is φ = 23818597171200.

The previous prime is 100065900155909. The next prime is 100065900156041. The reversal of 100065900156000 is 651009560001.

100065900156000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 35321530584 + ... + 35321533416.

It is an arithmetic number, because the mean of its divisors is an integer number (238139319600).

Almost surely, 2^{100065900156000} is an apocalyptic number.

100065900156000 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 100065900156000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182890997452800).

100065900156000 is an abundant number, since it is smaller than the sum of its proper divisors (265716094749600).

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

100065900156000 is a wasteful number, since it uses less digits than its factorization.

100065900156000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3049 (or 3031 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 33.

The spelling of 100065900156000 in words is "one hundred trillion, sixty-five billion, nine hundred million, one hundred fifty-six thousand".