105873491374080 has 832 divisors, whose sum is σ = 346694913331200. Its totient is φ = 27581250273280.

The previous prime is 105873491374019. The next prime is 105873491374093. The reversal of 105873491374080 is 80473194378501.

It is a super-2 number, since 2×105873491374080² (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 63 ways as a sum of consecutive naturals, for example, 245646151465 + ... + 245646151895.

Almost surely, 2^{105873491374080} is an apocalyptic number.

105873491374080 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 105873491374080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173347456665600).

105873491374080 is an abundant number, since it is smaller than the sum of its proper divisors (240821421957120).

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

105873491374080 is a wasteful number, since it uses less digits than its factorization.

105873491374080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 60.

The spelling of 105873491374080 in words is "one hundred five trillion, eight hundred seventy-three billion, four hundred ninety-one million, three hundred seventy-four thousand, eighty".