105401415131040 has 192 divisors, whose sum is σ = 379639805126400. Its totient is φ = 24079389450240.

The previous prime is 105401415131011. The next prime is 105401415131099. The reversal of 105401415131040 is 40131514104501.

It is a super-2 number, since 2×105401415131040² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 105401415130989 and 105401415131007.

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, 1498941 + ... + 14596220.

It is an arithmetic number, because the mean of its divisors is an integer number (1977290651700).

Almost surely, 2^{105401415131040} is an apocalyptic number.

105401415131040 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 105401415131040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189819902563200).

105401415131040 is an abundant number, since it is smaller than the sum of its proper divisors (274238389995360).

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

105401415131040 is a wasteful number, since it uses less digits than its factorization.

105401415131040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16097135 (or 16097127 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

Adding to 105401415131040 its reverse (40131514104501), we get a palindrome (145532929235541).

The spelling of 105401415131040 in words is "one hundred five trillion, four hundred one billion, four hundred fifteen million, one hundred thirty-one thousand, forty".