98106341760 has 1536 divisors, whose sum is σ = 439934976000. Its totient is φ = 20028653568.

The previous prime is 98106341741. The next prime is 98106341779. The reversal of 98106341760 is 6714360189.

It is a happy number.

98106341760 is a `hidden beast` number, since 9 + 8 + 1 + 0 + 634 + 1 + 7 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (98106341741) and next prime (98106341779).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 772490817 + ... + 772490943.

It is an arithmetic number, because the mean of its divisors is an integer number (286416000).

Almost surely, 2^98106341760 is an apocalyptic number.

98106341760 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 98106341760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219967488000).

98106341760 is an abundant number, since it is smaller than the sum of its proper divisors (341828634240).

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

98106341760 is a wasteful number, since it uses less digits than its factorization.

98106341760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 98106341760 in words is "ninety-eight billion, one hundred six million, three hundred forty-one thousand, seven hundred sixty".