100561001 has 8 divisors (see below), whose sum is σ = 108222984. Its totient is φ = 93093120.

The previous prime is 100560989. The next prime is 100561007. The reversal of 100561001 is 100165001.

It can be written as a sum of positive squares in 4 ways, for example, as 561001 + 100000000 = 749^2 + 10000^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 100561001 - 2²⁶ = 33452137 is a prime.

It is a super-2 number, since 2×100561001² = 20225029844244002, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100561007) 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, 47450 + ... + 49523.

It is an arithmetic number, because the mean of its divisors is an integer number (13527873).

Almost surely, 2^100561001 is an apocalyptic number.

It is an amenable number.

100561001 is a deficient number, since it is larger than the sum of its proper divisors (7661983).

100561001 is an equidigital number, since it uses as much as digits as its factorization.

100561001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97051.

The product of its (nonzero) digits is 30, while the sum is 14.

The square root of 100561001 is about 10028.0108196990. The cubic root of 100561001 is about 465.0252439373.

It can be divided in two parts, 100 and 561001, that multiplied together give a square (56100100 = 7490²).

The spelling of 100561001 in words is "one hundred million, five hundred sixty-one thousand, one".