100260641 has 8 divisors (see below), whose sum is σ = 108056424. Its totient is φ = 92476800.

The previous prime is 100260631. The next prime is 100260661. The reversal of 100260641 is 146062001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 180625 + 100080016 = 425^2 + 10004^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100260641 - 2¹⁸ = 99998497 is a prime.

It is a super-2 number, since 2×100260641² = 20104392267461762, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100260631) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22685 + ... + 26741.

It is an arithmetic number, because the mean of its divisors is an integer number (13507053).

Almost surely, 2^100260641 is an apocalyptic number.

It is an amenable number.

100260641 is a deficient number, since it is larger than the sum of its proper divisors (7795783).

100260641 is a wasteful number, since it uses less digits than its factorization.

100260641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5971.

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 100260641 is about 10013.0235693321. The cubic root of 100260641 is about 464.5617962967.

The spelling of 100260641 in words is "one hundred million, two hundred sixty thousand, six hundred forty-one".