106883494317600 has 1728 divisors, whose sum is σ = 480808615029120. Its totient is φ = 20270496153600.

The previous prime is 106883494317583. The next prime is 106883494317619. The reversal of 106883494317600 is 6713494388601.

It is a super-2 number, since 2×106883494317600² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1496659494 + ... + 1496730906.

It is an arithmetic number, because the mean of its divisors is an integer number (278245726290).

Almost surely, 2^{106883494317600} is an apocalyptic number.

106883494317600 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 106883494317600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240404307514560).

106883494317600 is an abundant number, since it is smaller than the sum of its proper divisors (373925120711520).

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

106883494317600 is a wasteful number, since it uses less digits than its factorization.

106883494317600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71563 (or 71543 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 60.

The spelling of 106883494317600 in words is "one hundred six trillion, eight hundred eighty-three billion, four hundred ninety-four million, three hundred seventeen thousand, six hundred".