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106216434 = 234655657
BaseRepresentation
bin1100101010010…
…11101111110010
321101212100120000
412111023233302
5204142411214
614312330430
72426552622
oct625135762
9241770500
10106216434
1154a57a85
122b6a3a16
131900c17c
141016c882
1594d1809
hex654bbf2

106216434 has 20 divisors (see below), whose sum is σ = 238003854. Its totient is φ = 35405424.

The previous prime is 106216393. The next prime is 106216463. The reversal of 106216434 is 434612601.

106216434 is a `hidden beast` number, since 1 + 0 + 621 + 6 + 4 + 34 = 666.

It can be written as a sum of positive squares in only one way, i.e., 106193025 + 23409 = 10305^2 + 153^2 .

It is a super-2 number, since 2×1062164342 = 22563861703352712, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 106216398 and 106216407.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 327667 + ... + 327990.

Almost surely, 2106216434 is an apocalyptic number.

106216434 is an abundant number, since it is smaller than the sum of its proper divisors (131787420).

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

106216434 is an equidigital number, since it uses as much as digits as its factorization.

106216434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655671 (or 655662 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 106216434 is about 10306.1357452733. The cubic root of 106216434 is about 473.5842372525.

The spelling of 106216434 in words is "one hundred six million, two hundred sixteen thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 655657 1311314 1966971 3933942 5900913 11801826 17702739 35405478 53108217 106216434