100620961 has 9 divisors (see below), whose sum is σ = 117130611. Its totient is φ = 86186352.

The previous prime is 100620931. The next prime is 100620991. The reversal of 100620961 is 169026001.

The square root of 100620961 is 10031.

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

It is an interprime number because it is at equal distance from previous prime (100620931) and next prime (100620991).

It can be written as a sum of positive squares in only one way, i.e., 83448225 + 17172736 = 9135^2 + 4144^2 .

It is not a de Polignac number, because 100620961 - 2¹¹ = 100618913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100620911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 69501 + ... + 70933.

Almost surely, 2^100620961 is an apocalyptic number.

100620961 is the 10031-st square number.

100620961 is the 5016-th centered octagonal number.

It is an amenable number.

100620961 is a deficient number, since it is larger than the sum of its proper divisors (16509650).

100620961 is an frugal number, since it uses more digits than its factorization.

100620961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2880 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The cubic root of 100620961 is about 465.1176501166.

Multiplying 100620961 by its sum of digits (25), we get a square (2515524025 = 50155²).

Adding to 100620961 its reverse (169026001), we get a palindrome (269646962).

The spelling of 100620961 in words is "one hundred million, six hundred twenty thousand, nine hundred sixty-one".