105401073899520 has 7680 divisors, whose sum is σ = 520578938880000. Its totient is φ = 20226338979840.

The previous prime is 105401073899519. The next prime is 105401073899521. The reversal of 105401073899520 is 25998370104501.

It is a happy number.

105401073899520 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 0 + 107 + 3 + 8 + 9 + 9 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (105401073899519) and next prime (105401073899521).

It is a tau number, because it is divible by the number of its divisors (7680).

It is a super-2 number, since 2×105401073899520² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105401073899521) by changing a digit.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 2848677672942 + ... + 2848677672978.

It is an arithmetic number, because the mean of its divisors is an integer number (67783716000).

Almost surely, 2^{105401073899520} is an apocalyptic number.

105401073899520 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 105401073899520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260289469440000).

105401073899520 is an abundant number, since it is smaller than the sum of its proper divisors (415177864980480).

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

105401073899520 is a wasteful number, since it uses less digits than its factorization.

105401073899520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 105401073899520 in words is "one hundred five trillion, four hundred one billion, seventy-three million, eight hundred ninety-nine thousand, five hundred twenty".