101600010 has 24 divisors (see below), whose sum is σ = 264160260. Its totient is φ = 27093312.

The previous prime is 101599991. The next prime is 101600017. The reversal of 101600010 is 10006101.

It can be written as a sum of positive squares in 2 ways, for example, as 99620361 + 1979649 = 9981^2 + 1407^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101599965 and 101600001.

It is not an unprimeable number, because it can be changed into a prime (101600017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 564355 + ... + 564534.

Almost surely, 2^101600010 is an apocalyptic number.

101600010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101600010 is an abundant number, since it is smaller than the sum of its proper divisors (162560250).

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

101600010 is a wasteful number, since it uses less digits than its factorization.

101600010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128902 (or 1128899 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 101600010 is about 10079.6830307307. The cubic root of 101600010 is about 466.6213260938.

Adding to 101600010 its reverse (10006101), we get a palindrome (111606111).

The spelling of 101600010 in words is "one hundred one million, six hundred thousand, ten".