106250049344 has 112 divisors (see below), whose sum is σ = 218145774528. Its totient is φ = 51323424768.

The previous prime is 106250049343. The next prime is 106250049401. The reversal of 106250049344 is 443940052601.

It is a super-2 number, since 2×106250049344² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106250049298 and 106250049307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106250049343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61664867 + ... + 61666589.

Almost surely, 2^106250049344 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 106250049344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109072887264).

106250049344 is an abundant number, since it is smaller than the sum of its proper divisors (111895725184).

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

106250049344 is a wasteful number, since it uses less digits than its factorization.

106250049344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2072 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The spelling of 106250049344 in words is "one hundred six billion, two hundred fifty million, forty-nine thousand, three hundred forty-four".