1006100601 has 48 divisors (see below), whose sum is σ = 1513774080. Its totient is φ = 593762400.

The previous prime is 1006100593. The next prime is 1006100603. The reversal of 1006100601 is 1060016001.

It is not a de Polignac number, because 1006100601 - 2³ = 1006100593 is a prime.

It is a super-2 number, since 2×1006100601² = 2024476838665122402, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1006100603) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2654430 + ... + 2654808.

It is an arithmetic number, because the mean of its divisors is an integer number (31536960).

Almost surely, 2^1006100601 is an apocalyptic number.

1006100601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1006100601 is a deficient number, since it is larger than the sum of its proper divisors (507673479).

1006100601 is a wasteful number, since it uses less digits than its factorization.

1006100601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 1006100601 is about 31719.0889055786. The cubic root of 1006100601 is about 1002.0294123661.

Adding to 1006100601 its reverse (1060016001), we get a palindrome (2066116602).

The spelling of 1006100601 in words is "one billion, six million, one hundred thousand, six hundred one".