10672100 has 18 divisors (see below), whose sum is σ = 23158674. Its totient is φ = 4268800.

The previous prime is 10672063. The next prime is 10672121. The reversal of 10672100 is 127601.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1136356 + 9535744 = 1066^2 + 3088^2 .

It is a super-2 number, since 2×10672100² = 227787436820000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 53261 + ... + 53460.

It is an arithmetic number, because the mean of its divisors is an integer number (1286593).

Almost surely, 2^10672100 is an apocalyptic number.

10672100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10672100 is an abundant number, since it is smaller than the sum of its proper divisors (12486574).

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

10672100 is a wasteful number, since it uses less digits than its factorization.

10672100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106735 (or 106728 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 10672100 is about 3266.8180237044. The cubic root of 10672100 is about 220.1658528974.

Adding to 10672100 its reverse (127601), we get a palindrome (10799701).

The spelling of 10672100 in words is "ten million, six hundred seventy-two thousand, one hundred".