101557157 has 8 divisors (see below), whose sum is σ = 110498136. Its totient is φ = 92777472.

The previous prime is 101557139. The next prime is 101557163. The reversal of 101557157 is 751755101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2076481 + 99480676 = 1441^2 + 9974^2 .

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 101557157 - 2⁸ = 101556901 is a prime.

It is a super-2 number, since 2×101557157² = 20627712275845298, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101557117) 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 in 7 ways as a sum of consecutive naturals, for example, 39008 + ... + 41529.

It is an arithmetic number, because the mean of its divisors is an integer number (13812267).

Almost surely, 2^101557157 is an apocalyptic number.

It is an amenable number.

101557157 is a deficient number, since it is larger than the sum of its proper divisors (8940979).

101557157 is an equidigital number, since it uses as much as digits as its factorization.

101557157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80647.

The product of its (nonzero) digits is 6125, while the sum is 32.

The square root of 101557157 is about 10077.5570948519. The cubic root of 101557157 is about 466.5557127942. Note that the first 3 decimals are identical.

The spelling of 101557157 in words is "one hundred one million, five hundred fifty-seven thousand, one hundred fifty-seven".