106897096656 has 320 divisors, whose sum is σ = 365616599040. Its totient is φ = 29266997760.

The previous prime is 106897096643. The next prime is 106897096727. The reversal of 106897096656 is 656690798601.

It is a super-2 number, since 2×106897096656² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 106897096593 and 106897096602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6883941 + ... + 6899451.

It is an arithmetic number, because the mean of its divisors is an integer number (1142551872).

Almost surely, 2^106897096656 is an apocalyptic number.

106897096656 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 106897096656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182808299520).

106897096656 is an abundant number, since it is smaller than the sum of its proper divisors (258719502384).

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

106897096656 is a wasteful number, since it uses less digits than its factorization.

106897096656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15631 (or 15619 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 106897096656 in words is "one hundred six billion, eight hundred ninety-seven million, ninety-six thousand, six hundred fifty-six".