100980000 has 480 divisors, whose sum is σ = 425113920. Its totient is φ = 23040000.

The previous prime is 100979971. The next prime is 100980013. The reversal of 100980000 is 89001.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5939992 + ... + 5940008.

It is an arithmetic number, because the mean of its divisors is an integer number (885654).

Almost surely, 2^100980000 is an apocalyptic number.

100980000 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 100980000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212556960).

100980000 is an abundant number, since it is smaller than the sum of its proper divisors (324133920).

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

100980000 is a wasteful number, since it uses less digits than its factorization.

100980000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 100980000 is about 10048.8805346665. The cubic root of 100980000 is about 465.6702094145.

It can be divided in two parts, 100 and 980000, that added together give a square (980100 = 990²).

The spelling of 100980000 in words is "one hundred million, nine hundred eighty thousand".