100258560 has 180 divisors, whose sum is σ = 359114448. Its totient is φ = 26707968.

The previous prime is 100258553. The next prime is 100258591. The reversal of 100258560 is 65852001.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-3 number, since 3×100258560³ (a number of 25 digits) contains 333 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 103197 + ... + 104163.

Almost surely, 2^100258560 is an apocalyptic number.

100258560 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 100258560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179557224).

100258560 is an abundant number, since it is smaller than the sum of its proper divisors (258855888).

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

100258560 is an frugal number, since it uses more digits than its factorization.

100258560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 100258560 is about 10012.9196541269. The cubic root of 100258560 is about 464.5585821415.

The spelling of 100258560 in words is "one hundred million, two hundred fifty-eight thousand, five hundred sixty".