157106521 has 12 divisors (see below), whose sum is σ = 185972836. Its totient is φ = 131836320.

The previous prime is 157106519. The next prime is 157106527. The reversal of 157106521 is 125601751.

It can be written as a sum of positive squares in 2 ways, for example, as 69889600 + 87216921 = 8360^2 + 9339^2 .

It is not a de Polignac number, because 157106521 - 2¹ = 157106519 is a prime.

It is a super-3 number, since 3×157106521³ (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 157106521.

It is not an unprimeable number, because it can be changed into a prime (157106527) 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 11 ways as a sum of consecutive naturals, for example, 48366 + ... + 51511.

Almost surely, 2^157106521 is an apocalyptic number.

157106521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

157106521 is a deficient number, since it is larger than the sum of its proper divisors (28866315).

157106521 is a wasteful number, since it uses less digits than its factorization.

157106521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99912 (or 99901 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 28.

The square root of 157106521 is about 12534.2140160442. The cubic root of 157106521 is about 539.5910495414.

The spelling of 157106521 in words is "one hundred fifty-seven million, one hundred six thousand, five hundred twenty-one".