106462890 has 64 divisors (see below), whose sum is σ = 298857600. Its totient is φ = 26894592.

The previous prime is 106462861. The next prime is 106462903. The reversal of 106462890 is 98264601.

106462890 is a `hidden beast` number, since 1 + 0 + 646 + 2 + 8 + 9 + 0 = 666.

It is a super-2 number, since 2×106462890² = 22668693894304200, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5247 + ... + 15506.

It is an arithmetic number, because the mean of its divisors is an integer number (4669650).

Almost surely, 2^106462890 is an apocalyptic number.

106462890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106462890 is an abundant number, since it is smaller than the sum of its proper divisors (192394710).

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

106462890 is a wasteful number, since it uses less digits than its factorization.

106462890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20788 (or 20782 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 106462890 is about 10318.0855782456. The cubic root of 106462890 is about 473.9502431347.

The spelling of 106462890 in words is "one hundred six million, four hundred sixty-two thousand, eight hundred ninety".