10100000 has 72 divisors (see below), whose sum is σ = 25099956. Its totient is φ = 4000000.

The previous prime is 10099997. The next prime is 10100009. The reversal of 10100000 is 101.

It can be written as a sum of positive squares in 6 ways, for example, as 38416 + 10061584 = 196^2 + 3172^2 .

It is a sliding number, since 10100000 = 100000 + 10000000 and 1/100000 + 1/10000000 = 0.000010100000.

It is a Harshad number since it is a multiple of its sum of digits (2).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (10100009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99950 + ... + 100050.

Almost surely, 2^10100000 is an apocalyptic number.

10100000 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 10100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12549978).

10100000 is an abundant number, since it is smaller than the sum of its proper divisors (14999956).

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

10100000 is an frugal number, since it uses more digits than its factorization.

10100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 2.

The square root of 10100000 is about 3178.0497164141. The cubic root of 10100000 is about 216.1592332945.

Adding to 10100000 its reverse (101), we get a palindrome (10100101).

10100000 divided by its reverse (101) gives a 5-th power (100000 = 10⁵).

The spelling of 10100000 in words is "ten million, one hundred thousand".