106252411464136 has 128 divisors (see below), whose sum is σ = 241947051840000. Its totient is φ = 42770035832832.

The previous prime is 106252411464131. The next prime is 106252411464167. The reversal of 106252411464136 is 631464114252601.

It is a super-2 number, since 2×106252411464136² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106252411464131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 318479940 + ... + 318813388.

It is an arithmetic number, because the mean of its divisors is an integer number (1890211342500).

Almost surely, 2^{106252411464136} 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 106252411464136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120973525920000).

106252411464136 is an abundant number, since it is smaller than the sum of its proper divisors (135694640375864).

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

106252411464136 is a wasteful number, since it uses less digits than its factorization.

106252411464136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338831 (or 338827 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 46.

The spelling of 106252411464136 in words is "one hundred six trillion, two hundred fifty-two billion, four hundred eleven million, four hundred sixty-four thousand, one hundred thirty-six".