101557007 has 2 divisors, whose sum is σ = 101557008. Its totient is φ = 101557006.

The previous prime is 101556911. The next prime is 101557019. The reversal of 101557007 is 700755101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101557007 - 2⁸ = 101556751 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101551007) by changing a digit.

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 as a sum of consecutive naturals, namely, 50778503 + 50778504.

It is an arithmetic number, because the mean of its divisors is an integer number (50778504).

Almost surely, 2^101557007 is an apocalyptic number.

101557007 is a deficient number, since it is larger than the sum of its proper divisors (1).

101557007 is an equidigital number, since it uses as much as digits as its factorization.

101557007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1225, while the sum is 26.

The square root of 101557007 is about 10077.5496525693. The cubic root of 101557007 is about 466.5554830931. Note that the first 3 decimals are identical.

The spelling of 101557007 in words is "one hundred one million, five hundred fifty-seven thousand, seven".