106542114120 has 192 divisors, whose sum is σ = 373070880000. Its totient is φ = 26213552640.

The previous prime is 106542114097. The next prime is 106542114143. The reversal of 106542114120 is 21411245601.

106542114120 is a `hidden beast` number, since 1 + 0 + 6 + 542 + 114 + 1 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (106542114097) and next prime (106542114143).

It is a super-2 number, since 2×106542114120² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14031525 + ... + 14039115.

It is an arithmetic number, because the mean of its divisors is an integer number (1943077500).

Almost surely, 2^106542114120 is an apocalyptic number.

106542114120 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 106542114120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186535440000).

106542114120 is an abundant number, since it is smaller than the sum of its proper divisors (266528765880).

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

106542114120 is a wasteful number, since it uses less digits than its factorization.

106542114120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10620 (or 10613 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 106542114120 its reverse (21411245601), we get a palindrome (127953359721).

The spelling of 106542114120 in words is "one hundred six billion, five hundred forty-two million, one hundred fourteen thousand, one hundred twenty".