106919494656 has 176 divisors, whose sum is σ = 323055902400. Its totient is φ = 31166595072.

The previous prime is 106919494639. The next prime is 106919494681. The reversal of 106919494656 is 656494919601.

106919494656 is digitally balanced in base 3 and base 7, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106919494656² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 106919494656.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 688330 + ... + 829238.

It is an arithmetic number, because the mean of its divisors is an integer number (1835544900).

Almost surely, 2^106919494656 is an apocalyptic number.

106919494656 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 106919494656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161527951200).

106919494656 is an abundant number, since it is smaller than the sum of its proper divisors (216136407744).

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

106919494656 is a wasteful number, since it uses less digits than its factorization.

106919494656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140964 (or 140946 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 60.

The spelling of 106919494656 in words is "one hundred six billion, nine hundred nineteen million, four hundred ninety-four thousand, six hundred fifty-six".