100681157 has 4 divisors (see below), whose sum is σ = 106603596. Its totient is φ = 94758720.

The previous prime is 100681153. The next prime is 100681183. The reversal of 100681157 is 751186001.

It is a Cunningham number, because it is equal to 10034²+1.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 78393316 + 22287841 = 8854^2 + 4721^2 .

It is a cyclic number.

It is not a de Polignac number, because 100681157 - 2² = 100681153 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100681151) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2961194 + ... + 2961227.

It is an arithmetic number, because the mean of its divisors is an integer number (26650899).

Almost surely, 2^100681157 is an apocalyptic number.

100681157 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

100681157 is a deficient number, since it is larger than the sum of its proper divisors (5922439).

100681157 is an equidigital number, since it uses as much as digits as its factorization.

100681157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5922438.

The product of its (nonzero) digits is 1680, while the sum is 29.

The square root of 100681157 is about 10034.0000498306. Note that the first 4 decimals coincide. The cubic root of 100681157 is about 465.2103830833.

The spelling of 100681157 in words is "one hundred million, six hundred eighty-one thousand, one hundred fifty-seven".