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106172046 = 235218461
BaseRepresentation
bin1100101010000…
…00111010001110
321101210002200000
412111000322032
5204140001141
614311345130
72426306331
oct625007216
9241702600
10106172046
1154a276a2
122b6821a6
1318cc4bc6
141015a618
1594c35b6
hex6540e8e

106172046 has 24 divisors (see below), whose sum is σ = 238560504. Its totient is φ = 35390520.

The previous prime is 106171973. The next prime is 106172047. The reversal of 106172046 is 640271601.

106172046 is a `hidden beast` number, since 1 + 0 + 617 + 2 + 0 + 46 = 666.

It is a super-2 number, since 2×1061720462 = 22545006703652232, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106172047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108745 + ... + 109716.

It is an arithmetic number, because the mean of its divisors is an integer number (9940021).

Almost surely, 2106172046 is an apocalyptic number.

106172046 is an abundant number, since it is smaller than the sum of its proper divisors (132388458).

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

106172046 is an equidigital number, since it uses as much as digits as its factorization.

106172046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218478 (or 218466 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 106172046 is about 10303.9820457918. The cubic root of 106172046 is about 473.5182575502.

The spelling of 106172046 in words is "one hundred six million, one hundred seventy-two thousand, forty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 218461 436922 655383 1310766 1966149 3932298 5898447 11796894 17695341 35390682 53086023 106172046