106773996560 has 320 divisors, whose sum is σ = 313707921408. Its totient is φ = 32832000000.

The previous prime is 106773996533. The next prime is 106773996671. The reversal of 106773996560 is 65699377601.

It is a super-2 number, since 2×106773996560² (a number of 23 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 106773996560.

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, 177660260 + ... + 177660860.

Almost surely, 2^106773996560 is an apocalyptic number.

106773996560 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 106773996560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156853960704).

106773996560 is an abundant number, since it is smaller than the sum of its proper divisors (206933924848).

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

106773996560 is a wasteful number, since it uses less digits than its factorization.

106773996560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 12859560, while the sum is 59.

The spelling of 106773996560 in words is "one hundred six billion, seven hundred seventy-three million, nine hundred ninety-six thousand, five hundred sixty".