106577350111056 has 160 divisors (see below), whose sum is σ = 301166804090880. Its totient is φ = 32208822016000.

The previous prime is 106577350111051. The next prime is 106577350111069. The reversal of 106577350111056 is 650111053775601.

It is a super-2 number, since 2×106577350111056² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 106577350110996 and 106577350111014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106577350111051) 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, 3148408531 + ... + 3148442381.

It is an arithmetic number, because the mean of its divisors is an integer number (1882292525568).

Almost surely, 2^{106577350111056} is an apocalyptic number.

106577350111056 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 106577350111056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150583402045440).

106577350111056 is an abundant number, since it is smaller than the sum of its proper divisors (194589453979824).

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

106577350111056 is a wasteful number, since it uses less digits than its factorization.

106577350111056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49825 (or 49819 counting only the distinct ones).

The product of its (nonzero) digits is 661500, while the sum is 48.

The spelling of 106577350111056 in words is "one hundred six trillion, five hundred seventy-seven billion, three hundred fifty million, one hundred eleven thousand, fifty-six".