106466633 has 32 divisors (see below), whose sum is σ = 139238400. Its totient is φ = 79050816.

The previous prime is 106466629. The next prime is 106466663. The reversal of 106466633 is 336664601.

It is not a de Polignac number, because 106466633 - 2² = 106466629 is a prime.

It is a super-2 number, since 2×106466633² = 22670287884713378, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106466593 and 106466602.

It is not an unprimeable number, because it can be changed into a prime (106466603) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 240110 + ... + 240552.

It is an arithmetic number, because the mean of its divisors is an integer number (4351200).

Almost surely, 2^106466633 is an apocalyptic number.

106466633 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

106466633 is a deficient number, since it is larger than the sum of its proper divisors (32771767).

106466633 is a wasteful number, since it uses less digits than its factorization.

106466633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621.

The product of its (nonzero) digits is 46656, while the sum is 35.

The square root of 106466633 is about 10318.2669571978. The cubic root of 106466633 is about 473.9557974174.

The spelling of 106466633 in words is "one hundred six million, four hundred sixty-six thousand, six hundred thirty-three".