106998296537600 has 960 divisors, whose sum is σ = 295923706670592. Its totient is φ = 38093193216000.

The previous prime is 106998296537593. The next prime is 106998296537651. The reversal of 106998296537600 is 6735692899601.

It is a super-2 number, since 2×106998296537600² (a number of 29 digits) contains 22 as substring.

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, 185438988512 + ... + 185438989088.

Almost surely, 2^{106998296537600} is an apocalyptic number.

106998296537600 is a gapful number since it is divisible by the number (10) 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 106998296537600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147961853335296).

106998296537600 is an abundant number, since it is smaller than the sum of its proper divisors (188925410132992).

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

106998296537600 is a wasteful number, since it uses less digits than its factorization.

106998296537600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 264539520, while the sum is 71.

The spelling of 106998296537600 in words is "one hundred six trillion, nine hundred ninety-eight billion, two hundred ninety-six million, five hundred thirty-seven thousand, six hundred".