106394464 has 96 divisors (see below), whose sum is σ = 239500800. Its totient is φ = 46103040.

The previous prime is 106394461. The next prime is 106394489. The reversal of 106394464 is 464493601.

It is a super-2 number, since 2×106394464² = 22639563939694592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106394461) 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, 976042 + ... + 976150.

It is an arithmetic number, because the mean of its divisors is an integer number (2494800).

Almost surely, 2^106394464 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 106394464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119750400).

106394464 is an abundant number, since it is smaller than the sum of its proper divisors (133106336).

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

106394464 is a wasteful number, since it uses less digits than its factorization.

106394464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The square root of 106394464 is about 10314.7692170014. The cubic root of 106394464 is about 473.8486820188.

The spelling of 106394464 in words is "one hundred six million, three hundred ninety-four thousand, four hundred sixty-four".