105234123960 has 384 divisors, whose sum is σ = 409182658560. Its totient is φ = 22948531200.

The previous prime is 105234123959. The next prime is 105234123971. The reversal of 105234123960 is 69321432501.

105234123960 is a `hidden beast` number, since 1 + 0 + 523 + 4 + 123 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×105234123960² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

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, 5537034 + ... + 5556006.

It is an arithmetic number, because the mean of its divisors is an integer number (1065579840).

Almost surely, 2^105234123960 is an apocalyptic number.

105234123960 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 105234123960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204591329280).

105234123960 is an abundant number, since it is smaller than the sum of its proper divisors (303948534600).

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

105234123960 is a wasteful number, since it uses less digits than its factorization.

105234123960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19099 (or 19092 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 105234123960 in words is "one hundred five billion, two hundred thirty-four million, one hundred twenty-three thousand, nine hundred sixty".