91841363892100 has 27 divisors (see below), whose sum is σ = 199295967605637. Its totient is φ = 36736507223280.

The previous prime is 91841363892077. The next prime is 91841363892143. The reversal of 91841363892100 is 129836314819.

It is a happy number.

The square root of 91841363892100 is 9583390.

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., 33062891001156 + 58778472890944 = 5750034^2 + 7666712^2 .

It is a super-2 number, since 2×91841363892100² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 95354731 + ... + 96313069.

Almost surely, 2^{91841363892100} is an apocalyptic number.

91841363892100 is the 9583390-th square number.

It is an amenable number.

91841363892100 is an abundant number, since it is smaller than the sum of its proper divisors (107454603713537).

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

91841363892100 is an frugal number, since it uses more digits than its factorization.

91841363892100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1916692 (or 958346 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 55.

The spelling of 91841363892100 in words is "ninety-one trillion, eight hundred forty-one billion, three hundred sixty-three million, eight hundred ninety-two thousand, one hundred".