100988607000 has 384 divisors, whose sum is σ = 339954900480. Its totient is φ = 24912096000.

The previous prime is 100988606993. The next prime is 100988607001. The reversal of 100988607000 is 706889001.

It is a self number, because there is not a number n which added to its sum of digits gives 100988607000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100988607001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66308239 + ... + 66309761.

It is an arithmetic number, because the mean of its divisors is an integer number (885299220).

Almost surely, 2^100988607000 is an apocalyptic number.

100988607000 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 100988607000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169977450240).

100988607000 is an abundant number, since it is smaller than the sum of its proper divisors (238966293480).

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

100988607000 is a wasteful number, since it uses less digits than its factorization.

100988607000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1632 (or 1587 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The spelling of 100988607000 in words is "one hundred billion, nine hundred eighty-eight million, six hundred seven thousand".