105642184704 has 208 divisors, whose sum is σ = 328005908352. Its totient is φ = 29612703744.

The previous prime is 105642184693. The next prime is 105642184729. The reversal of 105642184704 is 407481246501.

It is a super-2 number, since 2×105642184704² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4547262 + ... + 4570434.

Almost surely, 2^105642184704 is an apocalyptic number.

105642184704 is a gapful number since it is divisible by the number (14) 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 105642184704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164002954176).

105642184704 is an abundant number, since it is smaller than the sum of its proper divisors (222363723648).

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

105642184704 is an equidigital number, since it uses as much as digits as its factorization.

105642184704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23260 (or 23238 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 105642184704 in words is "one hundred five billion, six hundred forty-two million, one hundred eighty-four thousand, seven hundred four".