100729580 has 48 divisors (see below), whose sum is σ = 243081216. Its totient is φ = 34345920.

The previous prime is 100729567. The next prime is 100729597. The reversal of 100729580 is 85927001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24857 + ... + 28623.

It is an arithmetic number, because the mean of its divisors is an integer number (5064192).

Almost surely, 2^100729580 is an apocalyptic number.

100729580 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 100729580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121540608).

100729580 is an abundant number, since it is smaller than the sum of its proper divisors (142351636).

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

100729580 is a wasteful number, since it uses less digits than its factorization.

100729580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3974 (or 3972 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 32.

The square root of 100729580 is about 10036.4127057430. The cubic root of 100729580 is about 465.2849527199.

The spelling of 100729580 in words is "one hundred million, seven hundred twenty-nine thousand, five hundred eighty".