106123530240 has 2080 divisors, whose sum is σ = 506180209920. Its totient is φ = 20639121408.

The previous prime is 106123530223. The next prime is 106123530283. The reversal of 106123530240 is 42035321601.

106123530240 is a `hidden beast` number, since 1 + 0 + 6 + 123 + 530 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2080).

It is a super-2 number, since 2×106123530240² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2868203502 + ... + 2868203538.

Almost surely, 2^106123530240 is an apocalyptic number.

106123530240 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 106123530240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253090104960).

106123530240 is an abundant number, since it is smaller than the sum of its proper divisors (400056679680).

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

106123530240 is a wasteful number, since it uses less digits than its factorization.

106123530240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 106123530240 its reverse (42035321601), we get a palindrome (148158851841).

The spelling of 106123530240 in words is "one hundred six billion, one hundred twenty-three million, five hundred thirty thousand, two hundred forty".