106964088 has 64 divisors (see below), whose sum is σ = 333400320. Its totient is φ = 27782400.

The previous prime is 106964087. The next prime is 106964089. The reversal of 106964088 is 880469601.

It is an interprime number because it is at equal distance from previous prime (106964087) and next prime (106964089).

It is a super-2 number, since 2×106964088² = 22882632243343488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106964083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27093 + ... + 30788.

It is an arithmetic number, because the mean of its divisors is an integer number (5209380).

Almost surely, 2^106964088 is an apocalyptic number.

It is an amenable number.

106964088 is an abundant number, since it is smaller than the sum of its proper divisors (226436232).

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

106964088 is a wasteful number, since it uses less digits than its factorization.

106964088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57908 (or 57904 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 106964088 is about 10342.3444150734. The cubic root of 106964088 is about 474.6928215224.

The spelling of 106964088 in words is "one hundred six million, nine hundred sixty-four thousand, eighty-eight".