105101423241840 has 120 divisors (see below), whose sum is σ = 354915699753888. Its totient is φ = 27872200604160.

The previous prime is 105101423241797. The next prime is 105101423241847. The reversal of 105101423241840 is 48142324101501.

105101423241840 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 0 + 1 + 4 + 232 + 418 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×105101423241840² (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 a junction number, because it is equal to n+sod(n) for n = 105101423241795 and 105101423241804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105101423241847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 403113324 + ... + 403373963.

Almost surely, 2^{105101423241840} is an apocalyptic number.

105101423241840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105101423241840 is an abundant number, since it is smaller than the sum of its proper divisors (249814276512048).

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

105101423241840 is a wasteful number, since it uses less digits than its factorization.

105101423241840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806487487 (or 806487478 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 105101423241840 in words is "one hundred five trillion, one hundred one billion, four hundred twenty-three million, two hundred forty-one thousand, eight hundred forty".