100259724 has 12 divisors (see below), whose sum is σ = 233939384. Its totient is φ = 33419904.

The previous prime is 100259723. The next prime is 100259759. The reversal of 100259724 is 427952001.

It is a tau number, because it is divible by the number of its divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 100259691 and 100259700.

It is not an unprimeable number, because it can be changed into a prime (100259723) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 4177477 + ... + 4177500.

Almost surely, 2^100259724 is an apocalyptic number.

It is an amenable number.

100259724 is an abundant number, since it is smaller than the sum of its proper divisors (133679660).

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

100259724 is a wasteful number, since it uses less digits than its factorization.

100259724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8354984 (or 8354982 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 100259724 is about 10012.9777788628. The cubic root of 100259724 is about 464.5603799734.

It can be divided in two parts, 1002 and 59724, that added together give a triangular number (60726 = T₃₄₈).

The spelling of 100259724 in words is "one hundred million, two hundred fifty-nine thousand, seven hundred twenty-four".