101600416 has 12 divisors (see below), whose sum is σ = 200025882. Its totient is φ = 50800192.

The previous prime is 101600393. The next prime is 101600437. The reversal of 101600416 is 614006101.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 92236816 + 9363600 = 9604^2 + 3060^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101600393 and 101600402.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1587475 + ... + 1587538.

Almost surely, 2^101600416 is an apocalyptic number.

101600416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101600416 is a deficient number, since it is larger than the sum of its proper divisors (98425466).

101600416 is an equidigital number, since it uses as much as digits as its factorization.

101600416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3175023 (or 3175015 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 101600416 is about 10079.7031702327. The cubic root of 101600416 is about 466.6219476423.

Adding to 101600416 its reverse (614006101), we get a palindrome (715606517).

The spelling of 101600416 in words is "one hundred one million, six hundred thousand, four hundred sixteen".