91821053700 has 216 divisors, whose sum is σ = 296902012680. Its totient is φ = 23717836800.

The previous prime is 91821053689. The next prime is 91821053711. The reversal of 91821053700 is 735012819.

91821053700 is a `hidden beast` number, since 9 + 182 + 105 + 370 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (91821053689) and next prime (91821053711).

It can be written as a sum of positive squares in 12 ways, for example, as 41139396 + 91779914304 = 6414^2 + 302952^2 .

It is a super-2 number, since 2×91821053700² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7619680 + ... + 7631720.

It is an arithmetic number, because the mean of its divisors is an integer number (1374546355).

Almost surely, 2^91821053700 is an apocalyptic number.

91821053700 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91821053700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148451006340).

91821053700 is an abundant number, since it is smaller than the sum of its proper divisors (205080958980).

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

91821053700 is a wasteful number, since it uses less digits than its factorization.

91821053700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12327 (or 12317 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 91821053700 in words is "ninety-one billion, eight hundred twenty-one million, fifty-three thousand, seven hundred".