100358880 has 96 divisors (see below), whose sum is σ = 317520000. Its totient is φ = 26644992.

The previous prime is 100358851. The next prime is 100358887. The reversal of 100358880 is 88853001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100358887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200871 + ... + 201369.

It is an arithmetic number, because the mean of its divisors is an integer number (3307500).

Almost surely, 2^100358880 is an apocalyptic number.

100358880 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 100358880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158760000).

100358880 is an abundant number, since it is smaller than the sum of its proper divisors (217161120).

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

100358880 is a wasteful number, since it uses less digits than its factorization.

100358880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 100358880 is about 10017.9279294673. The cubic root of 100358880 is about 464.7134782463.

It can be divided in two parts, 10035 and 8880, that added together give a triangular number (18915 = T₁₉₄).

The spelling of 100358880 in words is "one hundred million, three hundred fifty-eight thousand, eight hundred eighty".