106052613120 has 880 divisors, whose sum is σ = 410645231040. Its totient is φ = 26085556224.

The previous prime is 106052613113. The next prime is 106052613131. The reversal of 106052613120 is 21316250601.

106052613120 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 526 + 13 + 120 = 666.

It is a super-2 number, since 2×106052613120² (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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 338826084 + ... + 338826396.

It is an arithmetic number, because the mean of its divisors is an integer number (466642308).

Almost surely, 2^106052613120 is an apocalyptic number.

106052613120 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 106052613120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205322615520).

106052613120 is an abundant number, since it is smaller than the sum of its proper divisors (304592617920).

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

106052613120 is a wasteful number, since it uses less digits than its factorization.

106052613120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 106052613120 its reverse (21316250601), we get a palindrome (127368863721).

The spelling of 106052613120 in words is "one hundred six billion, fifty-two million, six hundred thirteen thousand, one hundred twenty".