81037354358100 has 288 divisors, whose sum is σ = 276624486899712. Its totient is φ = 17924212800000.

The previous prime is 81037354358087. The next prime is 81037354358113. The reversal of 81037354358100 is 185345373018.

It is an interprime number because it is at equal distance from previous prime (81037354358087) and next prime (81037354358113).

It is a super-2 number, since 2×81037354358100² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 81037354358100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1531841650 + ... + 1531894550.

It is an arithmetic number, because the mean of its divisors is an integer number (960501690624).

Almost surely, 2^{81037354358100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81037354358100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138312243449856).

81037354358100 is an abundant number, since it is smaller than the sum of its proper divisors (195587132541612).

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

81037354358100 is a wasteful number, since it uses less digits than its factorization.

81037354358100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76487 (or 76480 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 81037354358100 in words is "eighty-one trillion, thirty-seven billion, three hundred fifty-four million, three hundred fifty-eight thousand, one hundred".