10672101 has 16 divisors (see below), whose sum is σ = 17248320. Its totient is φ = 6467760.

The previous prime is 10672063. The next prime is 10672121. The reversal of 10672101 is 10127601.

It is not a de Polignac number, because 10672101 - 2¹¹ = 10670053 is a prime.

It is a super-2 number, since 2×10672101² = 227787479508402, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10672121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17670 + ... + 18263.

It is an arithmetic number, because the mean of its divisors is an integer number (1078020).

Almost surely, 2^10672101 is an apocalyptic number.

10672101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10672101 is a deficient number, since it is larger than the sum of its proper divisors (6576219).

10672101 is a wasteful number, since it uses less digits than its factorization.

10672101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35953 (or 35947 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 10672101 is about 3266.8181767585. The cubic root of 10672101 is about 220.1658597740.

Adding to 10672101 its reverse (10127601), we get a palindrome (20799702).

The spelling of 10672101 in words is "ten million, six hundred seventy-two thousand, one hundred one".