100852290000 has 1800 divisors, whose sum is σ = 468841172800. Its totient is φ = 20956320000.

The previous prime is 100852289983. The next prime is 100852290001. The reversal of 100852290000 is 92258001.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (1800).

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 (100852290001) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 9168389995 + ... + 9168390005.

Almost surely, 2^100852290000 is an apocalyptic number.

100852290000 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 100852290000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234420586400).

100852290000 is an abundant number, since it is smaller than the sum of its proper divisors (367988882800).

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

100852290000 is an frugal number, since it uses more digits than its factorization.

100852290000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 100852290000 in words is "one hundred billion, eight hundred fifty-two million, two hundred ninety thousand".