101006649 has 16 divisors (see below), whose sum is σ = 154467840. Its totient is φ = 65165040.

The previous prime is 101006627. The next prime is 101006671. The reversal of 101006649 is 946600101.

101006649 is a `hidden beast` number, since 1 + 0 + 10 + 0 + 6 + 649 = 666.

It is an interprime number because it is at equal distance from previous prime (101006627) and next prime (101006671).

It is not a de Polignac number, because 101006649 - 2⁵ = 101006617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (101006249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59502 + ... + 61175.

It is an arithmetic number, because the mean of its divisors is an integer number (9654240).

Almost surely, 2^101006649 is an apocalyptic number.

It is an amenable number.

101006649 is a deficient number, since it is larger than the sum of its proper divisors (53461191).

101006649 is a wasteful number, since it uses less digits than its factorization.

101006649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120717 (or 120711 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 101006649 is about 10050.2064157907. The cubic root of 101006649 is about 465.7111698486.

The spelling of 101006649 in words is "one hundred one million, six thousand, six hundred forty-nine".