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100668893 = 1335321937
BaseRepresentation
bin1100000000000…
…01010111011101
321000102111202112
412000001113131
5201232401033
613553403405
72331446213
oct600012735
9230374675
10100668893
1151909036
1229869565
1317b190c0
14d526cb3
158c87c48
hex60015dd

100668893 has 8 divisors (see below), whose sum is σ = 108724728. Its totient is φ = 92657664.

The previous prime is 100668881. The next prime is 100668913. The reversal of 100668893 is 398866001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 128164 + 100540729 = 358^2 + 10027^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100668893 - 26 = 100668829 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100668893.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100668853) 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 7 ways as a sum of consecutive naturals, for example, 6380 + ... + 15557.

It is an arithmetic number, because the mean of its divisors is an integer number (13590591).

Almost surely, 2100668893 is an apocalyptic number.

100668893 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100668893 is a deficient number, since it is larger than the sum of its proper divisors (8055835).

100668893 is a wasteful number, since it uses less digits than its factorization.

100668893 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22303.

The product of its (nonzero) digits is 62208, while the sum is 41.

The square root of 100668893 is about 10033.3889090377. The cubic root of 100668893 is about 465.1914931805.

The spelling of 100668893 in words is "one hundred million, six hundred sixty-eight thousand, eight hundred ninety-three".

Divisors: 1 13 353 4589 21937 285181 7743761 100668893