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106027407 = 333926941
BaseRepresentation
bin1100101000111…
…01100110001111
321101111202021000
412110131212033
5204120334112
614304311343
72425134543
oct624354617
9241452230
10106027407
1154938a62
122b612553
1318c74115
141011da23
1594957dc
hex651d98f

106027407 has 8 divisors (see below), whose sum is σ = 157077680. Its totient is φ = 70684920.

The previous prime is 106027381. The next prime is 106027417. The reversal of 106027407 is 704720601.

106027407 is a `hidden beast` number, since 10 + 602 + 7 + 40 + 7 = 666.

It is not a de Polignac number, because 106027407 - 26 = 106027343 is a prime.

It is a super-2 number, since 2×1060274072 = 22483622070287298, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 3926941 = 106027407 / (1 + 0 + 6 + 0 + 2 + 7 + 4 + 0 + 7).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106027417) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1963444 + ... + 1963497.

It is an arithmetic number, because the mean of its divisors is an integer number (19634710).

Almost surely, 2106027407 is an apocalyptic number.

106027407 is a deficient number, since it is larger than the sum of its proper divisors (51050273).

106027407 is an equidigital number, since it uses as much as digits as its factorization.

106027407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3926950 (or 3926944 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 106027407 is about 10296.9610565448. The cubic root of 106027407 is about 473.3031339700.

The spelling of 106027407 in words is "one hundred six million, twenty-seven thousand, four hundred seven".

Divisors: 1 3 9 27 3926941 11780823 35342469 106027407