106257850048 has 168 divisors, whose sum is σ = 250408129104. Its totient is φ = 44593920000.

The previous prime is 106257850009. The next prime is 106257850079. The reversal of 106257850048 is 840058752601.

It is a super-2 number, since 2×106257850048² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48014190 + ... + 48016402.

It is an arithmetic number, because the mean of its divisors is an integer number (1490524578).

Almost surely, 2^106257850048 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 106257850048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125204064552).

106257850048 is an abundant number, since it is smaller than the sum of its proper divisors (144150279056).

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

106257850048 is a wasteful number, since it uses less digits than its factorization.

106257850048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2551 (or 2534 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 46.

The spelling of 106257850048 in words is "one hundred six billion, two hundred fifty-seven million, eight hundred fifty thousand, forty-eight".