108458142776320 has 352 divisors, whose sum is σ = 269380504673280. Its totient is φ = 41871415050240.

The previous prime is 108458142776251. The next prime is 108458142776339. The reversal of 108458142776320 is 23677241854801.

It is a happy number.

It is a super-2 number, since 2×108458142776320² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28519099539 + ... + 28519103341.

It is an arithmetic number, because the mean of its divisors is an integer number (765285524640).

Almost surely, 2^{108458142776320} is an apocalyptic number.

108458142776320 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 108458142776320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134690252336640).

108458142776320 is an abundant number, since it is smaller than the sum of its proper divisors (160922361896960).

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

108458142776320 is a wasteful number, since it uses less digits than its factorization.

108458142776320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5291 (or 5273 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 58.

The spelling of 108458142776320 in words is "one hundred eight trillion, four hundred fifty-eight billion, one hundred forty-two million, seven hundred seventy-six thousand, three hundred twenty".