10242100 has 36 divisors (see below), whose sum is σ = 24248448. Its totient is φ = 3724000.

The previous prime is 10242077. The next prime is 10242101. The reversal of 10242100 is 124201.

It is a super-2 number, since 2×10242100² = 209801224820000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10242101) 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, 3556 + ... + 5755.

It is an arithmetic number, because the mean of its divisors is an integer number (673568).

Almost surely, 2^10242100 is an apocalyptic number.

10242100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10242100 is an abundant number, since it is smaller than the sum of its proper divisors (14006348).

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

10242100 is a wasteful number, since it uses less digits than its factorization.

10242100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9336 (or 9329 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 10242100 is about 3200.3281081789. The cubic root of 10242100 is about 217.1682527843.

Adding to 10242100 its reverse (124201), we get a palindrome (10366301).

The spelling of 10242100 in words is "ten million, two hundred forty-two thousand, one hundred".