106370964 has 108 divisors (see below), whose sum is σ = 319685184. Its totient is φ = 29721888.

The previous prime is 106370963. The next prime is 106370977. The reversal of 106370964 is 469073601.

106370964 is a `hidden beast` number, since 10 + 637 + 0 + 9 + 6 + 4 = 666.

It is a super-2 number, since 2×106370964² = 22629563964578592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106370963) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 82267 + ... + 83549.

It is an arithmetic number, because the mean of its divisors is an integer number (2960048).

Almost surely, 2^106370964 is an apocalyptic number.

106370964 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 106370964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159842592).

106370964 is an abundant number, since it is smaller than the sum of its proper divisors (213314220).

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

106370964 is a wasteful number, since it uses less digits than its factorization.

106370964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 106370964 is about 10313.6300108158. The cubic root of 106370964 is about 473.8137921584.

It can be divided in two parts, 1063 and 70964, that added together give a palindrome (72027).

The spelling of 106370964 in words is "one hundred six million, three hundred seventy thousand, nine hundred sixty-four".