157413105 has 32 divisors (see below), whose sum is σ = 285811200. Its totient is φ = 82164096.

The previous prime is 157413103. The next prime is 157413107. The reversal of 157413105 is 501314751.

It is an interprime number because it is at equal distance from previous prime (157413103) and next prime (157413107).

It is not a de Polignac number, because 157413105 - 2¹ = 157413103 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (157413103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6060 + ... + 18749.

It is an arithmetic number, because the mean of its divisors is an integer number (8931600).

Almost surely, 2^157413105 is an apocalyptic number.

157413105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

157413105 is a deficient number, since it is larger than the sum of its proper divisors (128398095).

157413105 is a wasteful number, since it uses less digits than its factorization.

157413105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24870 (or 24864 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 157413105 is about 12546.4379407065. The cubic root of 157413105 is about 539.9418147184.

Adding to 157413105 its reverse (501314751), we get a palindrome (658727856).

The spelling of 157413105 in words is "one hundred fifty-seven million, four hundred thirteen thousand, one hundred five".