100601457 has 24 divisors (see below), whose sum is σ = 148032192. Its totient is φ = 60725280.

The previous prime is 100601411. The next prime is 100601477. The reversal of 100601457 is 754106001.

It is not a de Polignac number, because 100601457 - 2⁸ = 100601201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100601407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135028 + ... + 135770.

It is an arithmetic number, because the mean of its divisors is an integer number (6168008).

Almost surely, 2^100601457 is an apocalyptic number.

It is an amenable number.

100601457 is a deficient number, since it is larger than the sum of its proper divisors (47430735).

100601457 is a wasteful number, since it uses less digits than its factorization.

100601457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 100601457 is about 10030.0277666615. The cubic root of 100601457 is about 465.0875959385.

Adding to 100601457 its reverse (754106001), we get a palindrome (854707458).

It can be divided in two parts, 1006014 and 57, that added together give a triangular number (1006071 = T₁₄₁₈).

The spelling of 100601457 in words is "one hundred million, six hundred one thousand, four hundred fifty-seven".