106956864 has 168 divisors, whose sum is σ = 359468928. Its totient is φ = 29767680.

The previous prime is 106956847. The next prime is 106956869. The reversal of 106956864 is 468659601.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×106956864² = 22879541513428992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106956869) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164989 + ... + 165635.

It is an arithmetic number, because the mean of its divisors is an integer number (2139696).

Almost surely, 2^106956864 is an apocalyptic number.

106956864 is a gapful number since it is divisible by the number (14) 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 106956864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179734464).

106956864 is an abundant number, since it is smaller than the sum of its proper divisors (252512064).

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

106956864 is a wasteful number, since it uses less digits than its factorization.

106956864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 106956864 is about 10341.9951653441. The cubic root of 106956864 is about 474.6821348885.

The spelling of 106956864 in words is "one hundred six million, nine hundred fifty-six thousand, eight hundred sixty-four".