106123041024 has 1152 divisors, whose sum is σ = 403323518976. Its totient is φ = 23887872000.

The previous prime is 106123040999. The next prime is 106123041053. The reversal of 106123041024 is 420140321601.

It is a super-2 number, since 2×106123041024² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 106123040985 and 106123041003.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1453740252 + ... + 1453740324.

Almost surely, 2^106123041024 is an apocalyptic number.

106123041024 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 106123041024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201661759488).

106123041024 is an abundant number, since it is smaller than the sum of its proper divisors (297200477952).

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

106123041024 is a wasteful number, since it uses less digits than its factorization.

106123041024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 106123041024 its reverse (420140321601), we get a palindrome (526263362625).

The spelling of 106123041024 in words is "one hundred six billion, one hundred twenty-three million, forty-one thousand, twenty-four".