106873744142592 has 720 divisors, whose sum is σ = 378205993009152. Its totient is φ = 29373189304320.

The previous prime is 106873744142591. The next prime is 106873744142593. The reversal of 106873744142592 is 295241447378601.

106873744142592 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 7 + 37 + 4 + 4 + 1 + 4 + 2 + 592 = 666.

It is an interprime number because it is at equal distance from previous prime (106873744142591) and next prime (106873744142593).

It is a super-2 number, since 2×106873744142592² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (106873744142591) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 751380793 + ... + 751523015.

It is a 1-persistent number, because it is pandigital, but 2⋅106873744142592 = 213747488285184 is not.

Almost surely, 2^{106873744142592} is an apocalyptic number.

106873744142592 is a gapful number since it is divisible by the number (12) 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 106873744142592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189102996504576).

106873744142592 is an abundant number, since it is smaller than the sum of its proper divisors (271332248866560).

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

106873744142592 is a wasteful number, since it uses less digits than its factorization.

106873744142592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142456 (or 142433 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 106873744142592 in words is "one hundred six trillion, eight hundred seventy-three billion, seven hundred forty-four million, one hundred forty-two thousand, five hundred ninety-two".