100956001 has 2 divisors, whose sum is σ = 100956002. Its totient is φ = 100956000.

The previous prime is 100955977. The next prime is 100956019. The reversal of 100956001 is 100659001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91221601 + 9734400 = 9551^2 + 3120^2 .

It is a cyclic number.

It is not a de Polignac number, because 100956001 - 2¹³ = 100947809 is a prime.

It is a super-2 number, since 2×100956001² = 20384228275824002, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100956041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50478000 + 50478001.

It is an arithmetic number, because the mean of its divisors is an integer number (50478001).

Almost surely, 2^100956001 is an apocalyptic number.

It is an amenable number.

100956001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100956001 is an equidigital number, since it uses as much as digits as its factorization.

100956001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 270, while the sum is 22.

The square root of 100956001 is about 10047.6863505983. The cubic root of 100956001 is about 465.6333159544.

The spelling of 100956001 in words is "one hundred million, nine hundred fifty-six thousand, one".