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106213023 = 3276725163
BaseRepresentation
bin1100101010010…
…10111010011111
321101212011212200
412111022322133
5204142304043
614312302543
72426536650
oct625127237
9241764780
10106213023
1154a55464
122b6a1a53
131900a757
141016b527
1594d07d3
hex654ae9f

106213023 has 24 divisors (see below), whose sum is σ = 177959808. Its totient is φ = 59784912.

The previous prime is 106212989. The next prime is 106213027. The reversal of 106213023 is 320312601.

106213023 is a `hidden beast` number, since 10 + 621 + 30 + 2 + 3 = 666.

It is not a de Polignac number, because 106213023 - 26 = 106212959 is a prime.

It is a super-2 number, since 2×1062130232 = 22562412509597058, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106212987 and 106213005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106213027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8361 + ... + 16802.

It is an arithmetic number, because the mean of its divisors is an integer number (7414992).

Almost surely, 2106213023 is an apocalyptic number.

106213023 is a deficient number, since it is larger than the sum of its proper divisors (71746785).

106213023 is a wasteful number, since it uses less digits than its factorization.

106213023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25243 (or 25240 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 106213023 is about 10305.9702599998. The cubic root of 106213023 is about 473.5791676882.

Adding to 106213023 its reverse (320312601), we get a palindrome (426525624).

It can be divided in two parts, 1062130 and 23, that added together give a triangular number (1062153 = T1457).

The spelling of 106213023 in words is "one hundred six million, two hundred thirteen thousand, twenty-three".

Divisors: 1 3 7 9 21 63 67 201 469 603 1407 4221 25163 75489 176141 226467 528423 1585269 1685921 5057763 11801447 15173289 35404341 106213023