10672956100 has 27 divisors (see below), whose sum is σ = 23162556781. Its totient is φ = 4268769200.

The previous prime is 10672956079. The next prime is 10672956103. The reversal of 10672956100 is 165927601.

The square root of 10672956100 is 103310.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3842264196 + 6830691904 = 61986^2 + 82648^2 .

It is a super-3 number, since 3×10672956100³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10672956100.

It is not an unprimeable number, because it can be changed into a prime (10672956103) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1027935 + ... + 1038265.

Almost surely, 2^10672956100 is an apocalyptic number.

10672956100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10672956100 is the 103310-th square number.

It is an amenable number.

10672956100 is an abundant number, since it is smaller than the sum of its proper divisors (12489600681).

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

10672956100 is an frugal number, since it uses more digits than its factorization.

10672956100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20676 (or 10338 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 37.

The spelling of 10672956100 in words is "ten billion, six hundred seventy-two million, nine hundred fifty-six thousand, one hundred".