106737257056 has 48 divisors (see below), whose sum is σ = 215223934464. Its totient is φ = 52079497344.

The previous prime is 106737257041. The next prime is 106737257057. The reversal of 106737257056 is 650752737601.

It is a super-2 number, since 2×106737257056² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106737257057) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1482565 + ... + 1552891.

It is an arithmetic number, because the mean of its divisors is an integer number (4483831968).

Almost surely, 2^106737257056 is an apocalyptic number.

106737257056 is a gapful number since it is divisible by the number (16) 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 106737257056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107611967232).

106737257056 is an abundant number, since it is smaller than the sum of its proper divisors (108486677408).

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

106737257056 is a wasteful number, since it uses less digits than its factorization.

106737257056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71483 (or 71475 counting only the distinct ones).

The product of its (nonzero) digits is 1852200, while the sum is 49.

The spelling of 106737257056 in words is "one hundred six billion, seven hundred thirty-seven million, two hundred fifty-seven thousand, fifty-six".