100989504 has 420 divisors, whose sum is σ = 392411712. Its totient is φ = 25090560.

The previous prime is 100989463. The next prime is 100989509. The reversal of 100989504 is 405989001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100989509) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4390837 + ... + 4390859.

Almost surely, 2^100989504 is an apocalyptic number.

100989504 is a gapful number since it is divisible by the number (14) 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 100989504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196205856).

100989504 is an abundant number, since it is smaller than the sum of its proper divisors (291422208).

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

100989504 is a wasteful number, since it uses less digits than its factorization.

100989504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 100989504 is about 10049.3534120360. The cubic root of 100989504 is about 465.6848182176.

The spelling of 100989504 in words is "one hundred million, nine hundred eighty-nine thousand, five hundred four".