10106100 has 144 divisors (see below), whose sum is σ = 34372800. Its totient is φ = 2540160.

The previous prime is 10106099. The next prime is 10106101. The reversal of 10106100 is 160101.

10106100 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10106099) and next prime (10106101).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10106101) 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, 51202 + ... + 51398.

It is an arithmetic number, because the mean of its divisors is an integer number (238700).

Almost surely, 2^10106100 is an apocalyptic number.

10106100 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 10106100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17186400).

10106100 is an abundant number, since it is smaller than the sum of its proper divisors (24266700).

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

10106100 is a wasteful number, since it uses less digits than its factorization.

10106100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 226 counting only the distinct ones).

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

The square root of 10106100 is about 3179.0092796341. The cubic root of 10106100 is about 216.2027417419.

Adding to 10106100 its reverse (160101), we get a palindrome (10266201).

The spelling of 10106100 in words is "ten million, one hundred six thousand, one hundred".