10742100 has 72 divisors (see below), whose sum is σ = 31643808. Its totient is φ = 2812800.

The previous prime is 10742077. The next prime is 10742107. The reversal of 10742100 is 124701.

10742100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10742100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10742107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18007 + ... + 18593.

Almost surely, 2^10742100 is an apocalyptic number.

10742100 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 10742100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15821904).

10742100 is an abundant number, since it is smaller than the sum of its proper divisors (20901708).

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

10742100 is a wasteful number, since it uses less digits than its factorization.

10742100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 10742100 is about 3277.5143020283. The cubic root of 10742100 is about 220.6461718668.

Adding to 10742100 its reverse (124701), we get a palindrome (10866801).

The spelling of 10742100 in words is "ten million, seven hundred forty-two thousand, one hundred".