91414100 has 36 divisors (see below), whose sum is σ = 210041244. Its totient is φ = 34414080.

The previous prime is 91414091. The next prime is 91414109. The reversal of 91414100 is 141419.

It is an interprime number because it is at equal distance from previous prime (91414091) and next prime (91414109).

It can be written as a sum of positive squares in 6 ways, for example, as 1012036 + 90402064 = 1006^2 + 9508^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91414109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25187 + ... + 28586.

It is an arithmetic number, because the mean of its divisors is an integer number (5834479).

Almost surely, 2^91414100 is an apocalyptic number.

It is an amenable number.

91414100 is an abundant number, since it is smaller than the sum of its proper divisors (118627144).

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

91414100 is a wasteful number, since it uses less digits than its factorization.

91414100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53804 (or 53797 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 91414100 is about 9561.0721156155. The cubic root of 91414100 is about 450.4753824003.

Adding to 91414100 its reverse (141419), we get a palindrome (91555519).

The spelling of 91414100 in words is "ninety-one million, four hundred fourteen thousand, one hundred".