10254100 has 54 divisors (see below), whose sum is σ = 23181242. Its totient is φ = 3936000.

The previous prime is 10254073. The next prime is 10254109. The reversal of 10254100 is 145201.

10254100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 9 ways, for example, as 9960336 + 293764 = 3156^2 + 542^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10254109) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 168070 + ... + 168130.

It is a vampire number, since it can be written as 2501 ⋅ 4100 (with its own digits).

Almost surely, 2^10254100 is an apocalyptic number.

10254100 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 10254100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11590621).

10254100 is an abundant number, since it is smaller than the sum of its proper divisors (12927142).

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

10254100 is a wasteful number, since it uses less digits than its factorization.

10254100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 10254100 is about 3202.2023671217. The cubic root of 10254100 is about 217.2530336374.

Adding to 10254100 its reverse (145201), we get a palindrome (10399301).

It can be divided in two parts, 1025 and 4100, that multiplied together give a square (4202500 = 2050²).

The spelling of 10254100 in words is "ten million, two hundred fifty-four thousand, one hundred".