100135980 has 192 divisors, whose sum is σ = 362880000. Its totient is φ = 22450176.

The previous prime is 100135963. The next prime is 100135993. The reversal of 100135980 is 89531001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 222796 + ... + 223244.

It is an arithmetic number, because the mean of its divisors is an integer number (1890000).

Almost surely, 2^100135980 is an apocalyptic number.

100135980 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 100135980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181440000).

100135980 is an abundant number, since it is smaller than the sum of its proper divisors (262744020).

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

100135980 is a wasteful number, since it uses less digits than its factorization.

100135980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 100135980 is about 10006.7966902501. The cubic root of 100135980 is about 464.3691758214.

Adding to 100135980 its reverse (89531001), we get a palindrome (189666981).

The spelling of 100135980 in words is "one hundred million, one hundred thirty-five thousand, nine hundred eighty".