100601557 has 16 divisors (see below), whose sum is σ = 120505600. Its totient is φ = 83888784.

The previous prime is 100601531. The next prime is 100601587. The reversal of 100601557 is 755106001.

It is not a de Polignac number, because 100601557 - 2¹⁵ = 100568789 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 (100601587) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8728 + ... + 16654.

It is an arithmetic number, because the mean of its divisors is an integer number (7531600).

Almost surely, 2^100601557 is an apocalyptic number.

It is an amenable number.

100601557 is a deficient number, since it is larger than the sum of its proper divisors (19904043).

100601557 is an frugal number, since it uses more digits than its factorization.

100601557 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7985 (or 7971 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 25.

The square root of 100601557 is about 10030.0327516913. The cubic root of 100601557 is about 465.0877500408.

Adding to 100601557 its reverse (755106001), we get a palindrome (855707558).

The spelling of 100601557 in words is "one hundred million, six hundred one thousand, five hundred fifty-seven".