105240619100160 has 1152 divisors, whose sum is σ = 387388624896000. Its totient is φ = 26349649920000.

The previous prime is 105240619100159. The next prime is 105240619100171. The reversal of 105240619100160 is 61001916042501.

105240619100160 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 406 + 1 + 91 + 0 + 0 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×105240619100160² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 140133979785 + ... + 140133980535.

It is an arithmetic number, because the mean of its divisors is an integer number (336274848000).

Almost surely, 2^{105240619100160} is an apocalyptic number.

105240619100160 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 105240619100160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193694312448000).

105240619100160 is an abundant number, since it is smaller than the sum of its proper divisors (282148005795840).

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

105240619100160 is a wasteful number, since it uses less digits than its factorization.

105240619100160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1413 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 105240619100160 in words is "one hundred five trillion, two hundred forty billion, six hundred nineteen million, one hundred thousand, one hundred sixty".