106140012064 has 96 divisors (see below), whose sum is σ = 219645095040. Its totient is φ = 50419353600.

The previous prime is 106140012053. The next prime is 106140012101. The reversal of 106140012064 is 460210041601.

It is a super-2 number, since 2×106140012064² (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 15 ways as a sum of consecutive naturals, for example, 33260709 + ... + 33263899.

It is an arithmetic number, because the mean of its divisors is an integer number (2287969740).

Almost surely, 2^106140012064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106140012064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109822547520).

106140012064 is an abundant number, since it is smaller than the sum of its proper divisors (113505082976).

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

106140012064 is a wasteful number, since it uses less digits than its factorization.

106140012064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3794 (or 3786 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 106140012064 its reverse (460210041601), we get a palindrome (566350053665).

The spelling of 106140012064 in words is "one hundred six billion, one hundred forty million, twelve thousand, sixty-four".