100601600 has 108 divisors (see below), whose sum is σ = 271831560. Its totient is φ = 36556800.

The previous prime is 100601591. The next prime is 100601617. The reversal of 100601600 is 6106001.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69686 + ... + 71114.

Almost surely, 2^100601600 is an apocalyptic number.

100601600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135915780).

100601600 is an abundant number, since it is smaller than the sum of its proper divisors (171229960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100601600 is a wasteful number, since it uses less digits than its factorization.

100601600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 100601600 is about 10030.0348952534. The cubic root of 100601600 is about 465.0878163048.

Adding to 100601600 its reverse (6106001), we get a palindrome (106707601).

The spelling of 100601600 in words is "one hundred million, six hundred one thousand, six hundred".