106963464 has 64 divisors (see below), whose sum is σ = 283852800. Its totient is φ = 33493824.

The previous prime is 106963433. The next prime is 106963471. The reversal of 106963464 is 464369601.

It is a super-2 number, since 2×106963464² = 22882365261758592, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56989 + ... + 58835.

It is an arithmetic number, because the mean of its divisors is an integer number (4435200).

Almost surely, 2^106963464 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 106963464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141926400).

106963464 is an abundant number, since it is smaller than the sum of its proper divisors (176889336).

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

106963464 is a wasteful number, since it uses less digits than its factorization.

106963464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2002 (or 1998 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 106963464 is about 10342.3142477881. The cubic root of 106963464 is about 474.6918984434.

The spelling of 106963464 in words is "one hundred six million, nine hundred sixty-three thousand, four hundred sixty-four".