100906640 has 20 divisors (see below), whose sum is σ = 234608124. Its totient is φ = 40362624.

The previous prime is 100906609. The next prime is 100906649. The reversal of 100906640 is 46609001.

It can be written as a sum of positive squares in 2 ways, for example, as 22619536 + 78287104 = 4756^2 + 8848^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (100906649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 630587 + ... + 630746.

Almost surely, 2^100906640 is an apocalyptic number.

100906640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100906640 is an abundant number, since it is smaller than the sum of its proper divisors (133701484).

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

100906640 is a wasteful number, since it uses less digits than its factorization.

100906640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261346 (or 1261340 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 100906640 is about 10045.2297136502. The cubic root of 100906640 is about 465.5574153217.

The spelling of 100906640 in words is "one hundred million, nine hundred six thousand, six hundred forty".