105404155340800 has 288 divisors, whose sum is σ = 279603024573600. Its totient is φ = 39287808000000.

The previous prime is 105404155340791. The next prime is 105404155340801. The reversal of 105404155340800 is 8043551404501.

It is a super-2 number, since 2×105404155340800² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (105404155340801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58452675 + ... + 60228925.

It is an arithmetic number, because the mean of its divisors is an integer number (970843835325).

Almost surely, 2^{105404155340800} is an apocalyptic number.

105404155340800 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 105404155340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139801512286800).

105404155340800 is an abundant number, since it is smaller than the sum of its proper divisors (174198869232800).

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

105404155340800 is a wasteful number, since it uses less digits than its factorization.

105404155340800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1776363 (or 1776338 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 40.

The spelling of 105404155340800 in words is "one hundred five trillion, four hundred four billion, one hundred fifty-five million, three hundred forty thousand, eight hundred".