961620100 has 81 divisors (see below), whose sum is σ = 2432895717. Its totient is φ = 328954080.

The previous prime is 961620089. The next prime is 961620103. The reversal of 961620100 is 1026169.

The square root of 961620100 is 31010.

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., 346183236 + 615436864 = 18606^2 + 24808^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (961620103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2170479 + ... + 2170921.

Almost surely, 2^961620100 is an apocalyptic number.

961620100 is the 31010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 961620100

961620100 is an abundant number, since it is smaller than the sum of its proper divisors (1471275617).

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

961620100 is a wasteful number, since it uses less digits than its factorization.

961620100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 457 counting only the distinct ones).

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

The cubic root of 961620100 is about 987.0394498257.

Multiplying 961620100 by its sum of digits (25), we get a square (24040502500 = 155050²).

961620100 divided by its sum of digits (25) gives a square (38464804 = 6202²).

Adding to 961620100 its reverse (1026169), we get a palindrome (962646269).

Multiplying 961620100 by its reverse (1026169), we get a square (986784736396900 = 31413130²).

The spelling of 961620100 in words is "nine hundred sixty-one million, six hundred twenty thousand, one hundred".