106956696 has 128 divisors (see below), whose sum is σ = 344309760. Its totient is φ = 26870400.

The previous prime is 106956691. The next prime is 106956709. The reversal of 106956696 is 696659601.

It is a super-2 number, since 2×106956696² = 22879469638472832, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106956691) 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, 56355 + ... + 58221.

It is an arithmetic number, because the mean of its divisors is an integer number (2689920).

Almost surely, 2^106956696 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 106956696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172154880).

106956696 is an abundant number, since it is smaller than the sum of its proper divisors (237353064).

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

106956696 is a wasteful number, since it uses less digits than its factorization.

106956696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1925 (or 1921 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 48.

The square root of 106956696 is about 10341.9870431170. The cubic root of 106956696 is about 474.6818863564.

It can be divided in two parts, 10695 and 6696, that added together give a triangular number (17391 = T₁₈₆).

The spelling of 106956696 in words is "one hundred six million, nine hundred fifty-six thousand, six hundred ninety-six".