105040620669600 has 864 divisors, whose sum is σ = 470510043179904. Its totient is φ = 21414793420800.

The previous prime is 105040620669433. The next prime is 105040620669623. The reversal of 105040620669600 is 6966026040501.

105040620669600 is a `hidden beast` number, since 1 + 0 + 504 + 0 + 6 + 20 + 6 + 69 + 60 + 0 = 666.

It is a super-2 number, since 2×105040620669600² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 27595774 + ... + 31170626.

It is an arithmetic number, because the mean of its divisors is an integer number (544571809236).

Almost surely, 2^{105040620669600} is an apocalyptic number.

105040620669600 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 105040620669600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235255021589952).

105040620669600 is an abundant number, since it is smaller than the sum of its proper divisors (365469422510304).

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

105040620669600 is a wasteful number, since it uses less digits than its factorization.

105040620669600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3574950 (or 3574934 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 105040620669600 in words is "one hundred five trillion, forty billion, six hundred twenty million, six hundred sixty-nine thousand, six hundred".