106454964 has 48 divisors (see below), whose sum is σ = 309689856. Its totient is φ = 27650400.

The previous prime is 106454963. The next prime is 106454981. The reversal of 106454964 is 469454601.

It is a super-2 number, since 2×106454964² = 22665318720482592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106454963) 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, 56682 + ... + 58529.

It is an arithmetic number, because the mean of its divisors is an integer number (6451872).

Almost surely, 2^106454964 is an apocalyptic number.

106454964 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106454964 is an abundant number, since it is smaller than the sum of its proper divisors (203234892).

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

106454964 is a wasteful number, since it uses less digits than its factorization.

106454964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115236 (or 115234 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 106454964 is about 10317.7014882192. The cubic root of 106454964 is about 473.9384812183.

The spelling of 106454964 in words is "one hundred six million, four hundred fifty-four thousand, nine hundred sixty-four".