7082100 has 144 divisors (see below), whose sum is σ = 23679040. Its totient is φ = 1814400.

The previous prime is 7082099. The next prime is 7082107. The reversal of 7082100 is 12807.

7082100 = T₂₅ + T₂₆ + ... + T₃₄₈.

It is a super-2 number, since 2×7082100² = 100312280820000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7082107) 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, 116070 + ... + 116130.

Almost surely, 2^7082100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7082100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11839520).

7082100 is an abundant number, since it is smaller than the sum of its proper divisors (16596940).

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

7082100 is a wasteful number, since it uses less digits than its factorization.

7082100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 7082100 is about 2661.2215240374. The cubic root of 7082100 is about 192.0380783851.

Adding to 7082100 its reverse (12807), we get a palindrome (7094907).

The spelling of 7082100 in words is "seven million, eighty-two thousand, one hundred".