106722097827840 has 832 divisors, whose sum is σ = 414131875027200. Its totient is φ = 25857648230400.

The previous prime is 106722097827823. The next prime is 106722097827857. The reversal of 106722097827840 is 48728790227601.

106722097827840 is a `hidden beast` number, since 10 + 6 + 7 + 220 + 97 + 8 + 278 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (106722097827823) and next prime (106722097827857).

It is a super-2 number, since 2×106722097827840² (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 63 ways as a sum of consecutive naturals, for example, 14482571676 + ... + 14482579044.

Almost surely, 2^{106722097827840} is an apocalyptic number.

106722097827840 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 106722097827840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207065937513600).

106722097827840 is an abundant number, since it is smaller than the sum of its proper divisors (307409777199360).

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

106722097827840 is a wasteful number, since it uses less digits than its factorization.

106722097827840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9799 (or 9771 counting only the distinct ones).

The product of its (nonzero) digits is 37933056, while the sum is 63.

The spelling of 106722097827840 in words is "one hundred six trillion, seven hundred twenty-two billion, ninety-seven million, eight hundred twenty-seven thousand, eight hundred forty".