10712100 has 72 divisors (see below), whose sum is σ = 35428288. Its totient is φ = 2448000.

The previous prime is 10712087. The next prime is 10712101. The reversal of 10712100 is 121701.

It is a super-2 number, since 2×10712100² = 229498172820000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10712101) 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, 451 + ... + 4650.

Almost surely, 2^10712100 is an apocalyptic number.

10712100 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 10712100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17714144).

10712100 is an abundant number, since it is smaller than the sum of its proper divisors (24716188).

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

10712100 is a wasteful number, since it uses less digits than its factorization.

10712100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5125 (or 5118 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 12.

The square root of 10712100 is about 3272.9344631385. The cubic root of 10712100 is about 220.4405771560.

Adding to 10712100 its reverse (121701), we get a palindrome (10833801).

The spelling of 10712100 in words is "ten million, seven hundred twelve thousand, one hundred".